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Question 76 S...

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Question 76

Simplfy: $\frac{2 \frac{1}{2} + \frac{1}{5}}{2 \frac{1}{2} \div \frac{1}{5}}$

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Solution

Given, $\frac{2 \frac{1}{2} + \frac{1}{5}}{2 \frac{1}{2} \div \frac{1}{5}} = \frac{\frac{(2 \times 2) + 1}{2} + \frac{1}{5}}{\frac{(2 \times 2) + 1}{2} \div \frac{1}{5}} = \frac{\frac{5}{2} + \frac{1}{5}}{\frac{5}{2} \div \frac{1}{5}} = \frac{\frac{25 + 2}{10}}{\frac{5}{2} \times 5} = \frac{\frac{\frac{27}{10}}{25}}{2} = \frac{27}{10} \times \frac{2}{25} = \frac{27}{125}$

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