/ -a + c/b Calcule #a + #q en donnant donne le résultat sous la forme la plus simplifiée possible.

Tape le résultat sous la forme d'une fraction : (par exemple : «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mn»2«/mn»«mn»3«/mn»«/mfrac»«/math» s'écrira 2/3).

]]> 1.0000000 1.0000000 0 0 #solution]]> Super !

]]> #solution]]> Résultat correct, mais non simplifié !!!

]]> <question><wirisCasSession><![CDATA[<session lang="fr" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="fr">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>10</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>alea</mi><mo>(</mo><mo>-</mo><mn>8</mn><mo>,</mo><mo>-</mo><mn>1</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>c</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>15</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>q</mi><mo>=</mo><mfrac><mi>c</mi><mi>b</mi></mfrac></mtd></mtr></mtable><mrow><mi>q</mi><mo>∉</mo><integers/><mo> </mo></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>solution</mi><mo>=</mo><mi>a</mi><mo>+</mo><mi>q</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle displaystyle="false"><mo>#</mo><mi mathvariant="normal">s</mi><mi>o</mi><mi mathvariant="normal">l</mi><mi>u</mi><mi>t</mi><mi mathvariant="normal">i</mi><mi>o</mi><mi>n</mi></mstyle></math>]]></correctAnswer><correctAnswer id="1" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi><mi>u</mi><mi>t</mi><mi mathvariant="normal">i</mi><mi>o</mi><mi>n</mi></math>]]></correctAnswer><correctAnswer id="2"></correctAnswer><correctAnswer id="3"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m, y, z, a, f, p, n, µ, d, da, h, G, T, P, E, Z, Y</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/><assertion name="syntax_expression" correctAnswer="1"/><assertion name="equivalent_symbolic" correctAnswer="1"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">×</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> -a/b - c/b Calcule #p - #q en donnant donne le résultat sous la forme la plus simplifiée possible.

Tape le résultat sous la forme d'une fraction : (par exemple : «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mn»2«/mn»«mn»3«/mn»«/mfrac»«/math» s'écrira 2/3).

]]> 1.0000000 1.0000000 0 0 #solution]]> Super !

]]> #solution]]> Résultat correct, mais non simplifié !!!

]]> <question><wirisCasSession><![CDATA[<session lang="fr" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="fr">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>50</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>alea</mi><mo>(</mo><mo>-</mo><mn>25</mn><mo>,</mo><mo>-</mo><mn>1</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>p</mi><mo>=</mo><mfrac><mi>a</mi><mi>b</mi></mfrac></mtd></mtr></mtable><mrow><mi>p</mi><mo>∉</mo><integers/></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>c</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>15</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>q</mi><mo>=</mo><mfrac><mi>c</mi><mi>b</mi></mfrac></mtd></mtr></mtable><mrow><mi>q</mi><mo>∉</mo><integers/><mo> </mo></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>solution</mi><mo>=</mo><mi>p</mi><mo>-</mo><mi>q</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle displaystyle="false"><mo>#</mo><mi mathvariant="normal">s</mi><mi>o</mi><mi mathvariant="normal">l</mi><mi>u</mi><mi>t</mi><mi mathvariant="normal">i</mi><mi>o</mi><mi>n</mi></mstyle></math>]]></correctAnswer><correctAnswer id="1" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">s</mi><mi>o</mi><mi mathvariant="normal">l</mi><mi>u</mi><mi>t</mi><mi mathvariant="normal">i</mi><mi>o</mi><mi>n</mi></math>]]></correctAnswer><correctAnswer id="2"></correctAnswer><correctAnswer id="3"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m, y, z, a, f, p, n, µ, d, da, h, G, T, P, E, Z, Y</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/><assertion name="syntax_expression" correctAnswer="1"/><assertion name="equivalent_symbolic" correctAnswer="1"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">×</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> -a/b + c/b Calcule #p + #q en donnant donne le résultat sous la forme la plus simplifiée possible.

Tape le résultat sous la forme d'une fraction : (par exemple : «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mn»2«/mn»«mn»3«/mn»«/mfrac»«/math» s'écrira 2/3).

]]> 1.0000000 1.0000000 0 0 #solution]]> Super !

]]> #solution]]> Résultat correct, mais non simplifié !!!

]]> <question><wirisCasSession><![CDATA[<session lang="fr" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="fr">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>23</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>alea</mi><mo>(</mo><mo>-</mo><mn>50</mn><mo>,</mo><mo>-</mo><mn>1</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>p</mi><mo>=</mo><mfrac><mi>a</mi><mi>b</mi></mfrac></mtd></mtr></mtable><mrow><mi>p</mi><mo>∉</mo><integers/></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>c</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>15</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>q</mi><mo>=</mo><mfrac><mi>c</mi><mi>b</mi></mfrac></mtd></mtr></mtable><mrow><mi>q</mi><mo>∉</mo><integers/><mo> </mo></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>solution</mi><mo>=</mo><mi>p</mi><mo>+</mo><mi>q</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle displaystyle="false"><mo>#</mo><mi mathvariant="normal">s</mi><mi>o</mi><mi mathvariant="normal">l</mi><mi>u</mi><mi>t</mi><mi mathvariant="normal">i</mi><mi>o</mi><mi>n</mi></mstyle></math>]]></correctAnswer><correctAnswer id="1" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">s</mi><mi>o</mi><mi mathvariant="normal">l</mi><mi>u</mi><mi>t</mi><mi mathvariant="normal">i</mi><mi>o</mi><mi>n</mi></math>]]></correctAnswer><correctAnswer id="2"></correctAnswer><correctAnswer id="3"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m, y, z, a, f, p, n, µ, d, da, h, G, T, P, E, Z, Y</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/><assertion name="syntax_expression" correctAnswer="1"/><assertion name="equivalent_symbolic" correctAnswer="1"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">×</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> a - c/b Calcule #a - #q en donnant donne le résultat sous la forme la plus simplifiée possible.

Tape le résultat sous la forme d'une fraction : (par exemple : «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mn»2«/mn»«mn»3«/mn»«/mfrac»«/math» s'écrira 2/3).

]]> 1.0000000 1.0000000 0 0 #solution]]> Super !

]]> #solution]]> Résultat correct, mais non simplifié !!!

]]> <question><wirisCasSession><![CDATA[<session lang="fr" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="fr">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>10</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>alea</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>8</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>c</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>15</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>q</mi><mo>=</mo><mfrac><mi>c</mi><mi>b</mi></mfrac></mtd></mtr></mtable><mrow><mi>q</mi><mo>∉</mo><integers/><mo> </mo></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>solution</mi><mo>=</mo><mi>a</mi><mo>-</mo><mi>q</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle displaystyle="false"><mo>#</mo><mi mathvariant="normal">s</mi><mi>o</mi><mi mathvariant="normal">l</mi><mi>u</mi><mi>t</mi><mi mathvariant="normal">i</mi><mi>o</mi><mi>n</mi></mstyle></math>]]></correctAnswer><correctAnswer id="1" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">s</mi><mi>o</mi><mi mathvariant="normal">l</mi><mi>u</mi><mi>t</mi><mi mathvariant="normal">i</mi><mi>o</mi><mi>n</mi></math>]]></correctAnswer><correctAnswer id="2"></correctAnswer><correctAnswer id="3"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m, y, z, a, f, p, n, µ, d, da, h, G, T, P, E, Z, Y</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/><assertion name="syntax_expression" correctAnswer="1"/><assertion name="equivalent_symbolic" correctAnswer="1"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">×</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> a + c/b Calcule #a + #q en donnant donne le résultat sous la forme la plus simplifiée possible.

Tape le résultat sous la forme d'une fraction : (par exemple : «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mn»2«/mn»«mn»3«/mn»«/mfrac»«/math» s'écrira 2/3).

]]> 1.0000000 1.0000000 0 0 #solution]]> Super !

]]> #solution]]> Résultat correct, mais non simplifié !!!

]]> <question><wirisCasSession><![CDATA[<session lang="fr" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="fr">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>10</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>alea</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>8</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>c</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>15</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>q</mi><mo>=</mo><mfrac><mi>c</mi><mi>b</mi></mfrac></mtd></mtr></mtable><mrow><mi>q</mi><mo>∉</mo><integers/><mo> </mo></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>solution</mi><mo>=</mo><mi>a</mi><mo>+</mo><mi>q</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle displaystyle="false"><mo>#</mo><mi mathvariant="normal">s</mi><mi>o</mi><mi mathvariant="normal">l</mi><mi>u</mi><mi>t</mi><mi mathvariant="normal">i</mi><mi>o</mi><mi>n</mi></mstyle></math>]]></correctAnswer><correctAnswer id="1" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">s</mi><mi>o</mi><mi mathvariant="normal">l</mi><mi>u</mi><mi>t</mi><mi mathvariant="normal">i</mi><mi>o</mi><mi>n</mi></math>]]></correctAnswer><correctAnswer id="2"></correctAnswer><correctAnswer id="3"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m, y, z, a, f, p, n, µ, d, da, h, G, T, P, E, Z, Y</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/><assertion name="syntax_expression" correctAnswer="1"/><assertion name="equivalent_symbolic" correctAnswer="1"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">×</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> a/-b - (c/-b) Calcule #p - (#q) en donnant donne le résultat sous la forme la plus simplifiée possible.

Tape le résultat sous la forme d'une fraction : (par exemple : «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mn»2«/mn»«mn»3«/mn»«/mfrac»«/math» s'écrira 2/3).

]]> 1.0000000 1.0000000 0 0 #solution]]> Super !

]]> #solution]]> Résultat correct, mais non simplifié !!!

]]> <question><wirisCasSession><![CDATA[<session lang="fr" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="fr">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mo>-</mo><mn>50</mn><mo>,</mo><mo>-</mo><mn>2</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>alea</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>25</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>p</mi><mo>=</mo><mfrac><mi>a</mi><mi>b</mi></mfrac></mtd></mtr></mtable><mrow><mi>p</mi><mo>∉</mo><integers/></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>c</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>15</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>q</mi><mo>=</mo><mfrac><mi>c</mi><mi>b</mi></mfrac></mtd></mtr></mtable><mrow><mi>q</mi><mo>∉</mo><integers/><mo> </mo></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>solution</mi><mo>=</mo><mi>p</mi><mo>-</mo><mi>q</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle displaystyle="false"><mo>#</mo><mi mathvariant="normal">s</mi><mi>o</mi><mi mathvariant="normal">l</mi><mi>u</mi><mi>t</mi><mi mathvariant="normal">i</mi><mi>o</mi><mi>n</mi></mstyle></math>]]></correctAnswer><correctAnswer id="1" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">s</mi><mi>o</mi><mi mathvariant="normal">l</mi><mi>u</mi><mi>t</mi><mi mathvariant="normal">i</mi><mi>o</mi><mi>n</mi></math>]]></correctAnswer><correctAnswer id="2"></correctAnswer><correctAnswer id="3"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m, y, z, a, f, p, n, µ, d, da, h, G, T, P, E, Z, Y</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/><assertion name="syntax_expression" correctAnswer="1"/><assertion name="equivalent_symbolic" correctAnswer="1"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">×</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data></localData></question> a/b - c/b Calcule #p - #q en donnant donne le résultat sous la forme la plus simplifiée possible.

Tape le résultat sous la forme d'une fraction : (par exemple : «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mn»2«/mn»«mn»3«/mn»«/mfrac»«/math» s'écrira 2/3).

]]> 1.0000000 1.0000000 0 0 #solution]]> Super !

]]> #solution]]> Résultat correct, mais non simplifié !!!

]]> <question><wirisCasSession><![CDATA[<session lang="fr" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="fr">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>50</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>alea</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>25</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>p</mi><mo>=</mo><mfrac><mi>a</mi><mi>b</mi></mfrac></mtd></mtr></mtable><mrow><mi>p</mi><mo>∉</mo><integers/></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>c</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>15</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>q</mi><mo>=</mo><mfrac><mi>c</mi><mi>b</mi></mfrac></mtd></mtr></mtable><mrow><mi>q</mi><mo>∉</mo><integers/><mo> </mo></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>solution</mi><mo>=</mo><mi>p</mi><mo>-</mo><mi>q</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle displaystyle="false"><mo>#</mo><mi mathvariant="normal">s</mi><mi>o</mi><mi mathvariant="normal">l</mi><mi>u</mi><mi>t</mi><mi mathvariant="normal">i</mi><mi>o</mi><mi>n</mi></mstyle></math>]]></correctAnswer><correctAnswer id="1" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">s</mi><mi>o</mi><mi mathvariant="normal">l</mi><mi>u</mi><mi>t</mi><mi mathvariant="normal">i</mi><mi>o</mi><mi>n</mi></math>]]></correctAnswer><correctAnswer id="2"></correctAnswer><correctAnswer id="3"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m, y, z, a, f, p, n, µ, d, da, h, G, T, P, E, Z, Y</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/><assertion name="syntax_expression" correctAnswer="1"/><assertion name="equivalent_symbolic" correctAnswer="1"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">×</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data></localData></question> a/b + c/(db) Calcule #p + #q en donnant donne le résultat sous la forme la plus simplifiée possible.

Tape le résultat sous la forme d'une fraction : (par exemple : «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mn»2«/mn»«mn»3«/mn»«/mfrac»«/math» s'écrira 2/3).

]]> 1.5000000 1.0000000 0 0 #solution]]> Super !

]]> #solution]]> Résultat correct, mais non simplifié !!!

]]> <question><wirisCasSession><![CDATA[<session lang="fr" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="fr">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>10</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>5</mn><mo>)</mo><mo>*</mo><mi>b</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>alea</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>7</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>p</mi><mo>=</mo><mfrac><mi>a</mi><mi>b</mi></mfrac></mtd></mtr></mtable><mrow><mi>p</mi><mo>∉</mo><integers/></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>c</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>27</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>q</mi><mo>=</mo><mfrac><mi>c</mi><mi>d</mi></mfrac></mtd></mtr></mtable><mrow><mi>pgcd</mi><mo>(</mo><mi>c</mi><mo>,</mo><mi>d</mi><mo>)</mo><mo>=</mo><mn>1</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>solution</mi><mo>=</mo><mi>p</mi><mo>+</mo><mi>q</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle displaystyle="false"><mo>#</mo><mi mathvariant="normal">s</mi><mi>o</mi><mi mathvariant="normal">l</mi><mi>u</mi><mi>t</mi><mi mathvariant="normal">i</mi><mi>o</mi><mi>n</mi></mstyle></math>]]></correctAnswer><correctAnswer id="1" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">s</mi><mi>o</mi><mi mathvariant="normal">l</mi><mi>u</mi><mi>t</mi><mi mathvariant="normal">i</mi><mi>o</mi><mi>n</mi></math>]]></correctAnswer><correctAnswer id="2"></correctAnswer><correctAnswer id="3"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m, y, z, a, f, p, n, µ, d, da, h, G, T, P, E, Z, Y</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/><assertion name="syntax_expression" correctAnswer="1"/><assertion name="equivalent_symbolic" correctAnswer="1"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">true</option><option name="times_operator">×</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data></localData></question> a/b + c/b Calcule #p + #q en donnant donne le résultat sous la forme la plus simplifiée possible.

Tape le résultat sous la forme d'une fraction : (par exemple : «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mn»2«/mn»«mn»3«/mn»«/mfrac»«/math» s'écrira 2/3).

]]> 1.0000000 1.0000000 0 0 #solution]]> Super !

]]> #solution]]> Résultat correct, mais non simplifié !!!

]]> <question><wirisCasSession><![CDATA[<session lang="fr" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="fr">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>23</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>alea</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>25</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>p</mi><mo>=</mo><mfrac><mi>a</mi><mi>b</mi></mfrac></mtd></mtr></mtable><mrow><mi>p</mi><mo>∉</mo><integers/></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>c</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>15</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>q</mi><mo>=</mo><mfrac><mi>c</mi><mi>b</mi></mfrac></mtd></mtr></mtable><mrow><mi>q</mi><mo>∉</mo><integers/><mo> </mo></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>solution</mi><mo>=</mo><mi>p</mi><mo>+</mo><mi>q</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle displaystyle="false"><mo>#</mo><mi mathvariant="normal">s</mi><mi>o</mi><mi mathvariant="normal">l</mi><mi>u</mi><mi>t</mi><mi mathvariant="normal">i</mi><mi>o</mi><mi>n</mi></mstyle></math>]]></correctAnswer><correctAnswer id="1" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">s</mi><mi>o</mi><mi mathvariant="normal">l</mi><mi>u</mi><mi>t</mi><mi mathvariant="normal">i</mi><mi>o</mi><mi>n</mi></math>]]></correctAnswer><correctAnswer id="2"></correctAnswer><correctAnswer id="3"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m, y, z, a, f, p, n, µ, d, da, h, G, T, P, E, Z, Y</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/><assertion name="syntax_expression" correctAnswer="1"/><assertion name="equivalent_symbolic" correctAnswer="1"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">×</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> c/(db) - a/b Calcule #q - #p en donnant donne le résultat sous la forme la plus simplifiée possible.

Tape le résultat sous la forme d'une fraction : (par exemple : «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mn»2«/mn»«mn»3«/mn»«/mfrac»«/math» s'écrira 2/3).

]]> 1.0000000 1.0000000 0 0 #solution]]> Super !

]]> #solution]]> Résultat correct, mais non simplifié !!!

]]> <question><wirisCasSession><![CDATA[<session lang="fr" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="fr">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>10</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>5</mn><mo>)</mo><mo>*</mo><mi>b</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>alea</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>7</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>p</mi><mo>=</mo><mfrac><mi>a</mi><mi>b</mi></mfrac></mtd></mtr></mtable><mrow><mi>p</mi><mo>∉</mo><integers/></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>c</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>25</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>q</mi><mo>=</mo><mfrac><mi>c</mi><mi>d</mi></mfrac></mtd></mtr></mtable><mrow><mi>pgcd</mi><mo>(</mo><mi>c</mi><mo>,</mo><mi>d</mi><mo>)</mo><mo>=</mo><mn>1</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>solution</mi><mo>=</mo><mi>q</mi><mo>-</mo><mi>p</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle displaystyle="false"><mo>#</mo><mi mathvariant="normal">s</mi><mi>o</mi><mi mathvariant="normal">l</mi><mi>u</mi><mi>t</mi><mi mathvariant="normal">i</mi><mi>o</mi><mi>n</mi></mstyle></math>]]></correctAnswer><correctAnswer id="1" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi><mi>u</mi><mi>t</mi><mi mathvariant="normal">i</mi><mi>o</mi><mi>n</mi></math>]]></correctAnswer><correctAnswer id="2"></correctAnswer><correctAnswer id="3"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression" correctAnswer="1"/><assertion name="equivalent_symbolic" correctAnswer="1"/><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m, y, z, a, f, p, n, µ, d, da, h, G, T, P, E, Z, Y</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">true</option><option name="times_operator">×</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data></localData></question> cas_g1_aide On souhaite calculer : #p + #q

Quel est le plus petit multiple commun de #d1 et #d2 ? {#1}

En effet ce nombre {#2} = {#3} x #d1 = {#4} x #d2

Réduisons ces écritures fractionnaires au même dénominateur :

#p + #q

= {#5} / {#6} + {#7} / {#8} (Ne taper que des nombres dans chacune des cases !)

= {#9} / {#10}

= {#11} / {#12} (Ecriture simplifiée ou éventuellement la même expression qu'au dessus)

]]> 12.0000000 1.0000000 0 <question><wirisCasSession><![CDATA[<session lang="fr" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="fr">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>com</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>f</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d1</mi><mo>=</mo><mi>com</mi><mo>*</mo><mi>b</mi></mtd></mtr><mtr><mtd><mi>d2</mi><mo>=</mo><mi>com</mi><mo>*</mo><mi>f</mi></mtd></mtr></mtable><mrow><mi>ppcm</mi><mo>(</mo><mi>d1</mi><mo>,</mo><mi>d2</mi><mo>)</mo><mo><</mo><mn>121</mn><mo> </mo><mo>&</mo><mo> </mo><mi>d2</mi><mo><</mo><mi>d1</mi><mo> </mo><mo>&</mo><mo> </mo><mi>pgcd</mi><mo>(</mo><mi>d1</mi><mo>,</mo><mi>d2</mi><mo>)</mo><mo><</mo><mi>d2</mi></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>n1</mi><mo>=</mo><mi>alea</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>7</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>p</mi><mo>=</mo><mfrac><mi>n1</mi><mi>d1</mi></mfrac></mtd></mtr></mtable><mrow><mi>pgcd</mi><mo>(</mo><mi>n1</mi><mo>,</mo><mi>d1</mi><mo>)</mo><mo>=</mo><mn>1</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>n2</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>15</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>q</mi><mo>=</mo><mfrac><mi>n2</mi><mi>d2</mi></mfrac></mtd></mtr></mtable><mrow><mi>pgcd</mi><mo>(</mo><mi>n2</mi><mo>,</mo><mi>d2</mi><mo>)</mo><mo>=</mo><mn>1</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>solution</mi><mo>=</mo><mi>p</mi><mo>+</mo><mi>q</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi><mo>=</mo><mi>ppcm</mi><mo>(</mo><mi>d1</mi><mo>,</mo><mi>d2</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mi>m</mi><mo>/</mo><mi>d1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><mi>m</mi><mo>/</mo><mi>d2</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n3</mi><mo>=</mo><mi>f1</mi><mo>*</mo><mi>n1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n4</mi><mo>=</mo><mi>f2</mi><mo>*</mo><mi>n2</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n5</mi><mo>=</mo><mi>n3</mi><mo>+</mo><mi>n4</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n6</mi><mo>=</mo><mi>numerateur</mi><mo>(</mo><mi>solution</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d6</mi><mo>=</mo><mi>denominateur</mi><mo>(</mo><mi>solution</mi><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer></correctAnswer></correctAnswers><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"></data></localData></question> cas_g1_s_aide Calculer : #p + #q en donnant le résultat sous forme simplifiée (au maximum).

Aucune étape intermédiaire n'est demandée.

]]> 2.0000000 1.0000000 0 0 #solution]]> Super !!!

]]> #solution]]> Réponse correcte mais non simplifiée !!!

]]> <question><wirisCasSession><![CDATA[<session lang="fr" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="fr">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>com</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>f</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d1</mi><mo>=</mo><mi>com</mi><mo>*</mo><mi>b</mi></mtd></mtr><mtr><mtd><mi>d2</mi><mo>=</mo><mi>com</mi><mo>*</mo><mi>f</mi></mtd></mtr></mtable><mrow><mi>ppcm</mi><mo>(</mo><mi>d1</mi><mo>,</mo><mi>d2</mi><mo>)</mo><mo><</mo><mn>151</mn><mo> </mo><mo>&</mo><mo> </mo><mi>d2</mi><mo><</mo><mi>d1</mi><mo> </mo><mo>&</mo><mo> </mo><mi>pgcd</mi><mo>(</mo><mi>d1</mi><mo>,</mo><mi>d2</mi><mo>)</mo><mo><</mo><mi>d2</mi></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>n1</mi><mo>=</mo><mi>alea</mi><mo>(</mo><mo>-</mo><mn>7</mn><mo>,</mo><mo>-</mo><mn>1</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>p</mi><mo>=</mo><mfrac><mi>n1</mi><mi>d1</mi></mfrac></mtd></mtr></mtable><mrow><mi>pgcd</mi><mo>(</mo><mi>n1</mi><mo>,</mo><mi>d1</mi><mo>)</mo><mo>=</mo><mn>1</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>n2</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>15</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>q</mi><mo>=</mo><mfrac><mi>n2</mi><mi>d2</mi></mfrac></mtd></mtr></mtable><mrow><mi>pgcd</mi><mo>(</mo><mi>n2</mi><mo>,</mo><mi>d2</mi><mo>)</mo><mo>=</mo><mn>1</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>solution</mi><mo>=</mo><mi>p</mi><mo>+</mo><mi>q</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi><mi>u</mi><mi>t</mi><mi mathvariant="normal">i</mi><mi>o</mi><mi>n</mi></math>]]></correctAnswer><correctAnswer id="1" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi><mi>u</mi><mi>t</mi><mi mathvariant="normal">i</mi><mi>o</mi><mi>n</mi></math>]]></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression" correctAnswer="1"/><assertion name="equivalent_symbolic" correctAnswer="1"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data></localData></question> cas_g2_aide On souhaite calculer : #p - #q

Quel est le plus petit multiple commun de #d1 et #d2 ? {#1}

En effet ce nombre {#2} = {#3} x #d1 = {#4} x #d2

Réduisons ces écritures fractionnaires au même dénominateur :

#p - #q

= {#5} / {#6} - {#7} / {#8} (Ne taper que des nombres dans chacune des cases !)

= {#9} / {#10}

= {#11} / {#12} (Ecriture simplifiée ou éventuellement la même expression qu'au dessus)

]]> 12.0000000 1.0000000 0 <question><wirisCasSession><![CDATA[<session lang="fr" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="fr">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>com</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>f</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d1</mi><mo>=</mo><mi>com</mi><mo>*</mo><mi>b</mi></mtd></mtr><mtr><mtd><mi>d2</mi><mo>=</mo><mi>com</mi><mo>*</mo><mi>f</mi></mtd></mtr></mtable><mrow><mi>ppcm</mi><mo>(</mo><mi>d1</mi><mo>,</mo><mi>d2</mi><mo>)</mo><mo><</mo><mn>121</mn><mo> </mo><mo>&</mo><mo> </mo><mi>d2</mi><mo><</mo><mi>d1</mi><mo> </mo><mo>&</mo><mo> </mo><mi>pgcd</mi><mo>(</mo><mi>d1</mi><mo>,</mo><mi>d2</mi><mo>)</mo><mo><</mo><mi>d2</mi></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>n1</mi><mo>=</mo><mi>alea</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>7</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>p</mi><mo>=</mo><mfrac><mi>n1</mi><mi>d1</mi></mfrac></mtd></mtr></mtable><mrow><mi>pgcd</mi><mo>(</mo><mi>n1</mi><mo>,</mo><mi>d1</mi><mo>)</mo><mo>=</mo><mn>1</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>n2</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>15</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>q</mi><mo>=</mo><mfrac><mi>n2</mi><mi>d2</mi></mfrac></mtd></mtr></mtable><mrow><mi>pgcd</mi><mo>(</mo><mi>n2</mi><mo>,</mo><mi>d2</mi><mo>)</mo><mo>=</mo><mn>1</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>solution</mi><mo>=</mo><mi>p</mi><mo>-</mo><mi>q</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi><mo>=</mo><mi>ppcm</mi><mo>(</mo><mi>d1</mi><mo>,</mo><mi>d2</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mi>m</mi><mo>/</mo><mi>d1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><mi>m</mi><mo>/</mo><mi>d2</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n3</mi><mo>=</mo><mi>f1</mi><mo>*</mo><mi>n1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n4</mi><mo>=</mo><mi>f2</mi><mo>*</mo><mi>n2</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n5</mi><mo>=</mo><mi>n3</mi><mo>-</mo><mi>n4</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n6</mi><mo>=</mo><mi>numerateur</mi><mo>(</mo><mi>solution</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d6</mi><mo>=</mo><mi>denominateur</mi><mo>(</mo><mi>solution</mi><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer></correctAnswer></correctAnswers><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"></data></localData></question> cas_g2_s_aide Calculer : #p - #q en donnant le résultat sous forme simplifiée (au maximum).

Aucune étape intermédiaire n'est demandée.

]]> 2.0000000 1.0000000 0 0 #solution]]> Super !!!

]]> #solution]]> Réponse correcte mais non simplifiée !!!

]]> <question><wirisCasSession><![CDATA[<session lang="fr" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="fr">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>com</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>f</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d1</mi><mo>=</mo><mi>com</mi><mo>*</mo><mi>b</mi></mtd></mtr><mtr><mtd><mi>d2</mi><mo>=</mo><mi>com</mi><mo>*</mo><mi>f</mi></mtd></mtr></mtable><mrow><mi>ppcm</mi><mo>(</mo><mi>d1</mi><mo>,</mo><mi>d2</mi><mo>)</mo><mo><</mo><mn>151</mn><mo> </mo><mo>&</mo><mo> </mo><mi>d2</mi><mo><</mo><mi>d1</mi><mo> </mo><mo>&</mo><mo> </mo><mi>pgcd</mi><mo>(</mo><mi>d1</mi><mo>,</mo><mi>d2</mi><mo>)</mo><mo><</mo><mi>d2</mi></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>n1</mi><mo>=</mo><mi>alea</mi><mo>(</mo><mo>-</mo><mn>7</mn><mo>,</mo><mo>-</mo><mn>1</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>p</mi><mo>=</mo><mfrac><mi>n1</mi><mi>d1</mi></mfrac></mtd></mtr></mtable><mrow><mi>pgcd</mi><mo>(</mo><mi>n1</mi><mo>,</mo><mi>d1</mi><mo>)</mo><mo>=</mo><mn>1</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>n2</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>15</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>q</mi><mo>=</mo><mfrac><mi>n2</mi><mi>d2</mi></mfrac></mtd></mtr></mtable><mrow><mi>pgcd</mi><mo>(</mo><mi>n2</mi><mo>,</mo><mi>d2</mi><mo>)</mo><mo>=</mo><mn>1</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>solution</mi><mo>=</mo><mi>p</mi><mo>-</mo><mi>q</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi><mi>u</mi><mi>t</mi><mi mathvariant="normal">i</mi><mi>o</mi><mi>n</mi></math>]]></correctAnswer><correctAnswer id="1" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi><mi>u</mi><mi>t</mi><mi mathvariant="normal">i</mi><mi>o</mi><mi>n</mi></math>]]></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression" correctAnswer="1"/><assertion name="equivalent_symbolic" correctAnswer="1"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data></localData></question> cas_g3_aide On souhaite calculer : #p - #q

Quel est le plus petit multiple commun de #d1 et #d2 ? {#1}

En effet ce nombre {#2} = {#3} x #d1 = {#4} x #d2

Réduisons ces écritures fractionnaires au même dénominateur :

#p - #q

= {#5} / {#6} - {#7} / {#8} (Ne taper que des nombres dans chacune des cases !)

= {#9} / {#10}

= {#11} / {#12} (Ecriture simplifiée ou éventuellement la même expression qu'au dessus)

]]> 12.0000000 1.0000000 0 <question><wirisCasSession><![CDATA[<session lang="fr" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="fr">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>com</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>f</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d1</mi><mo>=</mo><mi>com</mi><mo>*</mo><mi>b</mi></mtd></mtr><mtr><mtd><mi>d2</mi><mo>=</mo><mi>com</mi><mo>*</mo><mi>f</mi></mtd></mtr></mtable><mrow><mi>ppcm</mi><mo>(</mo><mi>d1</mi><mo>,</mo><mi>d2</mi><mo>)</mo><mo><</mo><mn>151</mn><mo> </mo><mo>&</mo><mo> </mo><mi>d2</mi><mo><</mo><mi>d1</mi><mo> </mo><mo>&</mo><mo> </mo><mi>pgcd</mi><mo>(</mo><mi>d1</mi><mo>,</mo><mi>d2</mi><mo>)</mo><mo><</mo><mi>d2</mi></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>n1</mi><mo>=</mo><mi>alea</mi><mo>(</mo><mo>-</mo><mn>7</mn><mo>,</mo><mo>-</mo><mn>1</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>p</mi><mo>=</mo><mfrac><mi>n1</mi><mi>d1</mi></mfrac></mtd></mtr></mtable><mrow><mi>pgcd</mi><mo>(</mo><mi>n1</mi><mo>,</mo><mi>d1</mi><mo>)</mo><mo>=</mo><mn>1</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>n2</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>15</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>q</mi><mo>=</mo><mfrac><mi>n2</mi><mi>d2</mi></mfrac></mtd></mtr></mtable><mrow><mi>pgcd</mi><mo>(</mo><mi>n2</mi><mo>,</mo><mi>d2</mi><mo>)</mo><mo>=</mo><mn>1</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>solution</mi><mo>=</mo><mi>p</mi><mo>-</mo><mi>q</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi><mo>=</mo><mi>ppcm</mi><mo>(</mo><mi>d1</mi><mo>,</mo><mi>d2</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mi>m</mi><mo>/</mo><mi>d1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><mi>m</mi><mo>/</mo><mi>d2</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n3</mi><mo>=</mo><mi>f1</mi><mo>*</mo><mi>n1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n4</mi><mo>=</mo><mi>f2</mi><mo>*</mo><mi>n2</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n5</mi><mo>=</mo><mi>n3</mi><mo>-</mo><mi>n4</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n6</mi><mo>=</mo><mi>numerateur</mi><mo>(</mo><mi>solution</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d6</mi><mo>=</mo><mi>denominateur</mi><mo>(</mo><mi>solution</mi><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer></correctAnswer></correctAnswers><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"></data></localData></question> cas_g3_s_aide Calculer : #p - (#q) en donnant le résultat sous forme simplifiée (au maximum).

Aucune étape intermédiaire n'est demandée.

]]> 2.0000000 1.0000000 0 0 #solution]]> Super !!!

]]> #solution]]> Réponse correcte mais non simplifiée !!!

]]> <question><wirisCasSession><![CDATA[<session lang="fr" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="fr">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>com</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>f</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d1</mi><mo>=</mo><mi>com</mi><mo>*</mo><mi>b</mi></mtd></mtr><mtr><mtd><mi>d2</mi><mo>=</mo><mi>com</mi><mo>*</mo><mi>f</mi></mtd></mtr></mtable><mrow><mi>ppcm</mi><mo>(</mo><mi>d1</mi><mo>,</mo><mi>d2</mi><mo>)</mo><mo><</mo><mn>151</mn><mo> </mo><mo>&</mo><mo> </mo><mi>d2</mi><mo><</mo><mi>d1</mi><mo> </mo><mo>&</mo><mo> </mo><mi>pgcd</mi><mo>(</mo><mi>d1</mi><mo>,</mo><mi>d2</mi><mo>)</mo><mo><</mo><mi>d2</mi></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>n1</mi><mo>=</mo><mi>alea</mi><mo>(</mo><mo>-</mo><mn>7</mn><mo>,</mo><mo>-</mo><mn>1</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>p</mi><mo>=</mo><mfrac><mi>n1</mi><mi>d1</mi></mfrac></mtd></mtr></mtable><mrow><mi>pgcd</mi><mo>(</mo><mi>n1</mi><mo>,</mo><mi>d1</mi><mo>)</mo><mo>=</mo><mn>1</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>n2</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mo>-</mo><mn>15</mn><mo>,</mo><mo>-</mo><mn>1</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>q</mi><mo>=</mo><mfrac><mi>n2</mi><mi>d2</mi></mfrac></mtd></mtr></mtable><mrow><mi>pgcd</mi><mo>(</mo><mi>n2</mi><mo>,</mo><mi>d2</mi><mo>)</mo><mo>=</mo><mn>1</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>solution</mi><mo>=</mo><mi>p</mi><mo>-</mo><mi>q</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi><mi>u</mi><mi>t</mi><mi mathvariant="normal">i</mi><mi>o</mi><mi>n</mi></math>]]></correctAnswer><correctAnswer id="1" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi><mi>u</mi><mi>t</mi><mi mathvariant="normal">i</mi><mi>o</mi><mi>n</mi></math>]]></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression" correctAnswer="1"/><assertion name="equivalent_symbolic" correctAnswer="1"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data></localData></question> cas_g4_aide On souhaite calculer : #p + #q

Quel est le plus petit multiple commun de #d1 et #d2 ? {#1}

En effet ce nombre {#2} = {#3} x #d1 = {#4} x #d2

Réduisons ces écritures fractionnaires au même dénominateur :

#p + #q

= {#5} / {#6} + {#7} / {#8} (Ne taper que des nombres dans chacune des cases !)

= {#9} / {#10}

= {#11} / {#12} (Ecriture simplifiée ou éventuellement la même expression qu'au dessus)

]]> 12.0000000 1.0000000 0 <question><wirisCasSession><![CDATA[<session lang="fr" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="fr">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>com</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>f</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d1</mi><mo>=</mo><mi>com</mi><mo>*</mo><mi>b</mi></mtd></mtr><mtr><mtd><mi>d2</mi><mo>=</mo><mi>com</mi><mo>*</mo><mi>f</mi></mtd></mtr></mtable><mrow><mi>ppcm</mi><mo>(</mo><mi>d1</mi><mo>,</mo><mi>d2</mi><mo>)</mo><mo><</mo><mn>151</mn><mo> </mo><mo>&</mo><mo> </mo><mi>d2</mi><mo><</mo><mi>d1</mi><mo> </mo><mo>&</mo><mo> </mo><mi>pgcd</mi><mo>(</mo><mi>d1</mi><mo>,</mo><mi>d2</mi><mo>)</mo><mo><</mo><mi>d2</mi></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>n1</mi><mo>=</mo><mi>alea</mi><mo>(</mo><mo>-</mo><mn>7</mn><mo>,</mo><mo>-</mo><mn>1</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>p</mi><mo>=</mo><mfrac><mi>n1</mi><mi>d1</mi></mfrac></mtd></mtr></mtable><mrow><mi>pgcd</mi><mo>(</mo><mi>n1</mi><mo>,</mo><mi>d1</mi><mo>)</mo><mo>=</mo><mn>1</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>n2</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>15</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>q</mi><mo>=</mo><mfrac><mi>n2</mi><mi>d2</mi></mfrac></mtd></mtr></mtable><mrow><mi>pgcd</mi><mo>(</mo><mi>n2</mi><mo>,</mo><mi>d2</mi><mo>)</mo><mo>=</mo><mn>1</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>solution</mi><mo>=</mo><mi>p</mi><mo>+</mo><mi>q</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi><mo>=</mo><mi>ppcm</mi><mo>(</mo><mi>d1</mi><mo>,</mo><mi>d2</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mi>m</mi><mo>/</mo><mi>d1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><mi>m</mi><mo>/</mo><mi>d2</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n3</mi><mo>=</mo><mi>f1</mi><mo>*</mo><mi>n1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n4</mi><mo>=</mo><mi>f2</mi><mo>*</mo><mi>n2</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n5</mi><mo>=</mo><mi>n3</mi><mo>+</mo><mi>n4</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n6</mi><mo>=</mo><mi>numerateur</mi><mo>(</mo><mi>solution</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d6</mi><mo>=</mo><mi>denominateur</mi><mo>(</mo><mi>solution</mi><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer></correctAnswer></correctAnswers><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"></data></localData></question> cas_g4_s_aide Calculer : #p + #q en donnant le résultat sous forme simplifiée (au maximum).

Aucune étape intermédiaire n'est demandée.

]]> 2.0000000 1.0000000 0 0 #solution]]> Super !!!

]]> #solution]]> Réponse correcte mais non simplifiée !!!

]]> <question><wirisCasSession><![CDATA[<session lang="fr" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="fr">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>com</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>f</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d1</mi><mo>=</mo><mi>com</mi><mo>*</mo><mi>b</mi></mtd></mtr><mtr><mtd><mi>d2</mi><mo>=</mo><mi>com</mi><mo>*</mo><mi>f</mi></mtd></mtr></mtable><mrow><mi>ppcm</mi><mo>(</mo><mi>d1</mi><mo>,</mo><mi>d2</mi><mo>)</mo><mo><</mo><mn>151</mn><mo> </mo><mo>&</mo><mo> </mo><mi>d2</mi><mo><</mo><mi>d1</mi><mo> </mo><mo>&</mo><mo> </mo><mi>pgcd</mi><mo>(</mo><mi>d1</mi><mo>,</mo><mi>d2</mi><mo>)</mo><mo><</mo><mi>d2</mi></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>n1</mi><mo>=</mo><mi>alea</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>8</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>p</mi><mo>=</mo><mfrac><mi>n1</mi><mi>d1</mi></mfrac></mtd></mtr></mtable><mrow><mi>pgcd</mi><mo>(</mo><mi>n1</mi><mo>,</mo><mi>d1</mi><mo>)</mo><mo>=</mo><mn>1</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>n2</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>15</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>q</mi><mo>=</mo><mfrac><mi>n2</mi><mi>d2</mi></mfrac></mtd></mtr></mtable><mrow><mi>pgcd</mi><mo>(</mo><mi>n2</mi><mo>,</mo><mi>d2</mi><mo>)</mo><mo>=</mo><mn>1</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>solution</mi><mo>=</mo><mi>p</mi><mo>+</mo><mi>q</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi><mi>u</mi><mi>t</mi><mi mathvariant="normal">i</mi><mi>o</mi><mi>n</mi></math>]]></correctAnswer><correctAnswer id="1" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi><mi>u</mi><mi>t</mi><mi mathvariant="normal">i</mi><mi>o</mi><mi>n</mi></math>]]></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression" correctAnswer="1"/><assertion name="equivalent_symbolic" correctAnswer="1"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> pb1 Juliette possède une collection de timbres. #p des timbres sont des timbres français. #q des timbres sont des timbres allemands. Le reste sont des timbres abimés. Quelle est la fraction de ses timbres abimés ?

Aucune étape intermédiaire n'est demandée.

]]> 3.0000000 1.0000000 0 0 #solution]]> Super !!!

]]> #solution]]> Réponse correcte mais non simplifiée !!!

]]> <question><wirisCasSession><![CDATA[<session lang="fr" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="fr">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>com</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>f</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d1</mi><mo>=</mo><mi>com</mi><mo>*</mo><mi>b</mi></mtd></mtr><mtr><mtd><mi>d2</mi><mo>=</mo><mi>com</mi><mo>*</mo><mi>f</mi></mtd></mtr></mtable><mrow><mi>ppcm</mi><mo>(</mo><mi>d1</mi><mo>,</mo><mi>d2</mi><mo>)</mo><mo><</mo><mn>151</mn><mo> </mo><mo>&</mo><mo> </mo><mi>d2</mi><mo><</mo><mi>d1</mi><mo> </mo><mo>&</mo><mo> </mo><mi>pgcd</mi><mo>(</mo><mi>d1</mi><mo>,</mo><mi>d2</mi><mo>)</mo><mo><</mo><mi>d2</mi></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>n1</mi><mo>=</mo><mi>alea</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>8</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>p</mi><mo>=</mo><mfrac><mi>n1</mi><mi>d1</mi></mfrac></mtd></mtr></mtable><mrow><mi>p</mi><mo><</mo><mfrac><mn>1</mn><mn>2</mn></mfrac></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>n2</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>15</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>q</mi><mo>=</mo><mfrac><mi>n2</mi><mi>d2</mi></mfrac></mtd></mtr></mtable><mrow><mi>q</mi><mo> </mo><mo><</mo><mfrac><mn>1</mn><mn>2</mn></mfrac></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>solution</mi><mo>=</mo><mn>1</mn><mo>-</mo><mo>(</mo><mi>p</mi><mo>+</mo><mi>q</mi><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi><mi>u</mi><mi>t</mi><mi mathvariant="normal">i</mi><mi>o</mi><mi>n</mi></math>]]></correctAnswer><correctAnswer id="1" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi><mi>u</mi><mi>t</mi><mi mathvariant="normal">i</mi><mi>o</mi><mi>n</mi></math>]]></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression" correctAnswer="1"/><assertion name="equivalent_symbolic" correctAnswer="1"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> pb2 A la fin du collège on constate que la moitié des élèves entre en seconde générale et technologique, #q des élèves entrent en seconde professionnelle et le reste des autres élèves redoublent.
Quelle est la fraction des élèves qui redoublent ?

Aucune étape intermédiaire n'est demandée.

]]> 3.0000000 1.0000000 0 0 #solution]]> Super !!!

]]> #solution]]> Réponse correcte mais non simplifiée !!!

]]> <question><wirisCasSession><![CDATA[<session lang="fr" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="fr">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>com</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>f</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d2</mi><mo>=</mo><mi>com</mi><mo>*</mo><mi>f</mi></mtd></mtr></mtable></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mo>=</mo><mfrac><mn>1</mn><mn>2</mn></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>n2</mi><mo>=</mo><mi>aléa</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>15</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>q</mi><mo>=</mo><mfrac><mi>n2</mi><mi>d2</mi></mfrac></mtd></mtr></mtable><mrow><mi>q</mi><mo> </mo><mo><</mo><mfrac><mn>1</mn><mn>2</mn></mfrac></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>solution</mi><mo>=</mo><mn>1</mn><mo>-</mo><mo>(</mo><mi>p</mi><mo>+</mo><mi>q</mi><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi><mi>u</mi><mi>t</mi><mi mathvariant="normal">i</mi><mi>o</mi><mi>n</mi></math>]]></correctAnswer><correctAnswer id="1" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi><mi>u</mi><mi>t</mi><mi mathvariant="normal">i</mi><mi>o</mi><mi>n</mi></math>]]></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression" correctAnswer="1"/><assertion name="equivalent_symbolic" correctAnswer="1"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data></localData></question>