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Multiplication and Division of Rational Numbers

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Question

Simplify: $\frac{3}{7} \div (\frac{21}{- 55})$ .

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Solution

Given, $\frac{3}{7} \div (\frac{21}{- 55})$
The reciprocal of $(\frac{21}{- 55}) = \frac{- 55}{21}$
So, $\frac{3}{7} \div (\frac{21}{- 55}) = \frac{3}{7} \times \frac{(- 55)}{21} = \frac{(- 55) \times 3}{7 \times 21} = \frac{- 55}{49}$

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Multiplication and Division of Rational Numbers

Standard VII Mathematics

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