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Uses of Ratios and Proportions

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Question

Solve:
$\frac{1}{2} \div [(\frac{- 1}{3}) \div \frac{2}{7}] .$

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Solution

$\frac{1}{2} \div [\frac{- 1}{3} \div \frac{2}{7}] = \frac{1}{2} \div [\frac{- 1}{3} \times \frac{7}{2}]$
$= \frac{1}{2} \times \frac{3 \times 2}{- 1 \times 7} = \frac{- 3}{7}$

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