Find : $3 \div \frac{6}{7} + 7 \div \frac{21}{2}$ $- 2 \div 5$

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Solution

The correct option is B
$3 \div \frac{6}{7} + 7 \div \frac{21}{2} - 2 \div 5 ∴ 3 \times \frac{7}{6} + 7 \times \frac{2}{21} - \frac{2}{5} ∴ \frac{7}{2} + \frac{2}{3} - \frac{2}{5} L C M o f 2, 3, 5 i s 30 ∴ \frac{7}{2} = \frac{7 \times 15}{2 \times 15} = \frac{105}{30} \frac{2}{3} = \frac{2 \times 10}{3 \times 10} = \frac{20}{30} \frac{2}{5} = \frac{2 \times 6}{5 \times 6} = \frac{12}{30} ∴ \frac{105 + 20 - 12}{30} = \frac{113}{30} ∴ \frac{113}{30} = 3 \frac{23}{30}$

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