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Divide the Sum of 65 12 and 12 7 by Their Difference. - Mathematics

Sum

Divide the sum of \[\frac{65}{12} \text{and}\ \frac{12}{7}\] by their difference.

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Solution

\[(\frac{65}{12} + \frac{12}{7}) \div (\frac{65}{12} - \frac{12}{7})\]
\[ = \frac{65 \times 7 + 12 \times 12}{84} \div \frac{65 \times 7 - 12 \times 12}{84}\]
\[ = \frac{455 + 144}{84} \div \frac{455 - 144}{84}\]
\[ = \frac{599}{84} \div \frac{311}{84}\]
\[ = \frac{599}{84} \times \frac{84}{311}\]
\[ = \frac{599}{311}\]

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APPEARS IN

RD Sharma Class 8 Maths
Chapter 1 Rational Numbers
Exercise 1.7 | Q 14 | Page 36
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