Solution 1.2:4a

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*****REVISE***
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<center> [[Image:1_2_4a.gif]] </center>
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We calculate the double fraction by multiplying top and bottom by the reciprocal of the denominator:
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<math>\frac{\frac{3}{5}}{\frac{7}{10}}=\frac{\frac{3}{5}\centerdot \frac{10}{7}}{\frac{7}{10}\centerdot \frac{10}{7}}=\frac{3}{5}\centerdot \frac{10}{7}</math>
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The expression can now be simplified further by removing the common factor
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<math>5</math>
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<math>\frac{3}{5}\centerdot \frac{10}{7}=\frac{3}{5}\centerdot \frac{2\centerdot 5}{7}=\frac{3\centerdot 2}{7}=\frac{6}{7}</math>

Revision as of 13:18, 11 September 2008

          • REVISE***

We calculate the double fraction by multiplying top and bottom by the reciprocal of the denominator:


\displaystyle \frac{\frac{3}{5}}{\frac{7}{10}}=\frac{\frac{3}{5}\centerdot \frac{10}{7}}{\frac{7}{10}\centerdot \frac{10}{7}}=\frac{3}{5}\centerdot \frac{10}{7}

The expression can now be simplified further by removing the common factor \displaystyle 5 .


\displaystyle \frac{3}{5}\centerdot \frac{10}{7}=\frac{3}{5}\centerdot \frac{2\centerdot 5}{7}=\frac{3\centerdot 2}{7}=\frac{6}{7}

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