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 <question type="category"><category><text>4t ESO/4.01 NOMBRES/4.01.1 Els nombres racionals</text></category></question>
 
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      <text>4.01.1.50 TEORIA: Periòdic mixt a fracció</text>
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<div style="text-align: center;"><span style="color: #ffcc00; font-size: x-large;" data-mce-mark="1"><span style="font-weight: bold;" data-mce-mark="1"> </span><span style="font-size: large; color: #ffff99;" data-mce-mark="1">Periòdic mixt → fracció</span></span></div>
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<li><span style="font-size: small; color: #000080;" data-mce-mark="1">Comptem les xifres del període i les de l'avantperíode.</span></li>
<li><span style="font-size: small; color: #000080;" data-mce-mark="1">Multipliquem el nombre per 1 seguit de tants zeros com xifres tenen avantperiòde i període.</span></li>
<li><span style="font-size: small; color: #000080;" data-mce-mark="1">Multipliquem el nombre per 1 seguit de tants zeros com té l'avantperíode.</span></li>
<li><span style="font-size: small; color: #000080;" data-mce-mark="1">Restem i en deduïm la fracció.</span></li>
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<p><span style="color: #000080; font-size: small;" data-mce-mark="1"><span style="color: #000080; font-size: small;" data-mce-mark="1">Exemple:   x = 6,<span style="color: #000080; font-size: small;" data-mce-mark="1">23</span><span style="color: #000080; font-size: small;" data-mce-mark="1"><span style="color: #000080; font-size: small;" data-mce-mark="1">456</span>456456</span>...</span></span><br /><span style="color: #000080; font-size: small;" data-mce-mark="1">Avantperíode i període tenen <span style="color: #000080; font-size: small;" data-mce-mark="1">5</span> xifres, multipliquem per 1<span style="color: #000080; font-size: small;" data-mce-mark="1">00.000: </span></span><span style="color: #000080; font-size: small;" data-mce-mark="1">     100.000x = 623.456,456456...</span></p>
<p><span style="color: #000080; font-size: small;" data-mce-mark="1">L'avantperíode té 2 xifres, multipliquem per 100: </span></p>
<p><span style="color: #000080; font-size: small;" data-mce-mark="1">100x = 623,456456...</span></p>
<p><span style="font-size: small; color: #000080;" data-mce-mark="1">Restem: 100.000x = 623.456,456456...</span></p>
<p><span style="font-size: large; color: #000080;" data-mce-mark="1">          <span style="text-decoration: underline;" data-mce-mark="1">    <span style="font-size: large;" data-mce-mark="1"> <span style="font-size: small;" data-mce-mark="1">100x =        623,456456...</span></span><span style="font-size: small;" data-mce-mark="1"> </span></span></span></p>
<p style="text-align: left;"><span style="font-size: large;">          <span style="font-size: small;"><span style="color: #000080;">99.900x =622.833</span>  </span>«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo mathvariant=¨bold¨ mathcolor=¨#00007F¨»§#8658;«/mo»«mi mathvariant=¨bold-italic¨ mathcolor=¨#00007F¨»x«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#00007F¨»=«/mo»«mfrac mathcolor=¨#00007F¨»«mrow»«mn mathvariant=¨bold¨»622«/mn»«mo mathvariant=¨bold¨».«/mo»«mn mathvariant=¨bold¨»833«/mn»«/mrow»«mrow»«mn mathvariant=¨bold¨»99«/mn»«mo mathvariant=¨bold¨».«/mo»«mn mathvariant=¨bold¨»900«/mn»«/mrow»«/mfrac»«mo mathvariant=¨bold¨ mathcolor=¨#00007F¨»§#8658;«/mo»«mi mathvariant=¨bold-italic¨ mathcolor=¨#00007F¨»x«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#00007F¨»=«/mo»«mfrac mathcolor=¨#00007F¨»«mrow»«mn mathvariant=¨bold¨»207«/mn»«mo mathvariant=¨bold¨».«/mo»«mn mathvariant=¨bold¨»611«/mn»«/mrow»«mrow»«mn mathvariant=¨bold¨»33«/mn»«mo mathvariant=¨bold¨».«/mo»«mn mathvariant=¨bold¨»300«/mn»«/mrow»«/mfrac»«/math»</span></p>
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