Rasyonel sayılar çözümlü sorular 1

 

Rasyonel sayılar merdiven kesirler le ilgili çözümlü sorular

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<table width="200" border="0">

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    <td>Soru1:</td>

    <td>&nbsp;</td>

  </tr>

  <tr>

    <td>`1+\frac{1}{1+\frac{1}{2}}=?`</td>

    <td>&nbsp;</td>

  </tr>

  <tr>

    <td>`=1+\frac{1}{\frac{3}{2}}=`</td>

    <td>&nbsp;</td>

  </tr>

  <tr>

    <td>`=1+\frac{2}{3}=\frac{5}{3}`</td>

    <td>&nbsp;</td>

  </tr>

  <tr>

    <td>Soru 2:</td>

    <td>&nbsp;</td>

  </tr>

  <tr>

    <td>`1-\frac{1}{1-\frac{1}{2}}=?`</td>

    <td>&nbsp;</td>

  </tr>

  <tr>

    <td>`=1-\frac{1}{\frac{1}{2}}=1-\frac{1}{1}.\frac{2}{1}=1-2=-1`</td>

    <td>&nbsp;</td>

  </tr>

  <tr>

    <td>Soru 3:</td>

    <td>&nbsp;</td>

  </tr>

  <tr>

    <td>`5-\frac{1}{\frac{1}{3}}=?`</td>

    <td>&nbsp;</td>

  </tr>

  <tr>

    <td>`=5-\frac{1}{\frac{1}{3}}= 5-\frac{1}{1}.\frac{3}{1}= 5-3=2`</td>

    <td>&nbsp;</td>

  </tr>

  <tr>

    <td>Soru 4:</td>

    <td>&nbsp;</td>

  </tr>

  <tr>

    <td>`1-\frac{3}{\frac{2}{5}}=?`</td>

    <td>&nbsp;</td>

  </tr>

  <tr>

    <td>`=1-\frac{3}{\frac{2}{5}}=1-\frac{3}{1}.\frac{5}{2}=1-\frac{15}{2}=\frac{2-15}{2}=\frac{-13}{2}`</td>

    <td>&nbsp;</td>

  </tr>

  <tr>

    <td>Soru 4:</td>

    <td>&nbsp;</td>

  </tr>

  <tr>

    <td>`1-\frac{3}{\frac{2}{5}}=?`</td>

    <td>&nbsp;</td>

  </tr>

  <tr>

    <td>`=1-\frac{3}{\frac{2}{5}}=1-\frac{3}{1}.\frac{5}{2}=1-\frac{15}{2}=\frac{2-15}{2}=\frac{-13}{2}`</td>

    <td>&nbsp;</td>

  </tr>

  <tr>

    <td>Soru 5:</td>

    <td>&nbsp;</td>

  </tr>

  <tr>

    <td>`=2-\frac{5}{\frac{4}{3}}=?`</td>

    <td>&nbsp;</td>

  </tr>

  <tr>

    <td>`=2-\frac{5}{\frac{4}{3}}=2-\frac{5}{1}.\frac{3}{4}=2-\frac{15}{4}=\frac{8-15}{4}=\frac{-7}{4}`</td>

    <td>&nbsp;</td>

  </tr>

  <tr>

    <td>Soru 6:</td>

    <td>&nbsp;</td>

  </tr>

  <tr>

    <td>`1-\frac{1}{1-\frac{1}{1-\frac{1}{4}}}=?`</td>

    <td>&nbsp;</td>

  </tr>

  <tr>

    <td>`=

1-\frac{1}{1-\frac{1}{\frac{3}{4}}}=1-\frac{1}{1-\frac{4}{3}}=1-\frac{1}{-\frac{1}{3}}=1-\frac{1}{1}.( \frac{-3}{1}  )=1+3=4`</td>

    <td>&nbsp;</td>

  </tr>

  <tr>

    <td>&nbsp;</td>

    <td>&nbsp;</td>

  </tr>

</table>


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