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Divide: $\frac{- 3}{4} by \frac{9}{- 16}$

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\frac{- 4}{3}

\frac{4}{3}

\frac{3}{4}

\frac{- 3}{4}

answer is B.

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Detailed Solution

Given,

\Rightarrow \frac{(- 3)}{4} \div \frac{9}{(- 16)}

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

\Rightarrow \frac{(- 3)}{4} \div \frac{9}{(- 16)} = \frac{(- 3)}{4} \times reciprocal of (\frac{9}{- 16})

\Rightarrow \frac{- 3}{4} \times \frac{- 16}{9}

\Rightarrow \frac{- 3 \times - 16}{9 \times 4}

\Rightarrow \frac{48}{36}

\Rightarrow \frac{4}{3}

Therefore, the required answer is

\frac{4}{3}

.
Correct option is 2.

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