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Q.

Divide: $\frac{- 7}{8} by \frac{- 21}{- 16}$

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a

\frac{2}{3}

b

\frac{6}{3}

c

- \frac{2}{3}

d

\frac{3}{6}

answer is C.

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Detailed Solution

Given,

\Rightarrow \frac{- 7}{8} \div \frac{- 21}{- 16}

To divide fraction, write the division as multiplication by the reciprocal of the divisor:
Therefore,

\Rightarrow \frac{(- 7)}{8} \div \frac{(- 21)}{(- 16)} = \frac{(- 7)}{8} \times reciprocal of (\frac{- 21}{- 16})

\Rightarrow \frac{- 7}{8} \times \frac{- 16}{- 21}

\Rightarrow \frac{- 7 \times - 16}{8 \times - 21}

\Rightarrow \frac{112}{- 168}

\Rightarrow - \frac{2}{3}

Hence, the required answer is

- \frac{2}{3}

.
Correct option is 3.

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