Simplify: 1 2 (7 8 -3 5 ) - Vidyadip

Question

Simplify:
$\frac{1}{2} \div\left(\frac{7}{8}-\frac{3}{5}\right)$

✓

Answer

$\frac{1}{2} \div\left(\frac{7}{8}-\frac{3}{5}\right)=\frac{1}{2} \div\left(\frac{5 \times 7-8 \times 3}{40}\right) $
$=\frac{1}{2} \div\left(\frac{35-24}{40}\right)=\frac{1}{2} \div\left(\frac{11}{40}\right) $
$=\frac{1}{2} \times \frac{40}{11}=\frac{20}{11}=1 \frac{9}{11}$

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