Question
Simplify:
$\frac{4}{7} \div\left(\frac{1}{3} \times 2 \frac{4}{5}\right)$

Answer

$\frac{4}{7} \div\left(\frac{1}{3} \times 2 \frac{4}{5}\right) $
$=\frac{4}{7} \div\left(\frac{1}{3} \times \frac{14}{5}\right)=\frac{4}{7} \div\left(\frac{14}{15}\right) $
$=\frac{4}{7} \times \frac{15}{14}=\frac{60}{98}=\frac{30}{49}$

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