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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>4.01.1.40 TEORIA: Periòdic pur 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 pur → 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 </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 té el període.</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="font-size: small; color: #000080;" data-mce-mark="1"><span style="font-size: small;" data-mce-mark="1">Exemple:   x = 6,<span style="color: #008000;" data-mce-mark="1">45</span>4545...</span></span><br /><span style="color: #000080; font-size: small;" data-mce-mark="1">El període té <span style="color: #008000;" data-mce-mark="1">2</span> xifres, multipliquem per 1<span style="color: #008000;" data-mce-mark="1">00</span>.</span></p>
<p><span style="color: #000080; font-size: small;" data-mce-mark="1">                                 100x = 645,454545...</span></p>
<p><span style="color: #000080; font-size: small;" data-mce-mark="1">restem                    <span style="text-decoration: underline;" data-mce-mark="1">     x =     6,454545...</span> </span></p>
<p style="text-align: left;"><span style="font-size: large;">                    <span style="font-size: small; color: #000080;">99x = 639</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¨»«mn mathvariant=¨bold¨»639«/mn»«mn mathvariant=¨bold¨»99«/mn»«/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¨»«mn mathvariant=¨bold¨»71«/mn»«mn mathvariant=¨bold¨»11«/mn»«/mfrac»«/math»</span></p>
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