Question

Simplify : --4 ÷ -2/5 *3/4​

Answer 1

$- 4 \div (\frac{ - 2}{5} \times \frac{3}{4} ) \\ = - 4 \div ( \frac{( - 2) \times 3}{5 \times 4} ) \\ = - 4 \div ( \frac{ - 1 \times 3}{5 \times 2} ) \: \: \: \: \: \: \: by \: cancellation \\ = - 4 \div \frac{ - 3}{10} \\ = \frac{ - 4}{1} \div \frac{ - 3}{10} \\ = \frac{ - 4}{1} \times \frac{ - 10}{3} \\ = \frac{( - 4) \times ( - 10)}{1 \times 3} \\ = \frac{ 40}{3} \\ = \ 13\frac{1}{3}$

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