Question

should be multiplied to $\frac{-3}{4}$ so that the product is $\frac{-9}{16}$

• A. $\frac{4}{3}$
• B. $\frac{-4}{3}$
• C. $\frac{3}{4}$
• D. $\frac{3}{4}$

Answer 1

The correct option is D $\frac{3}{4}$

Let the number to be multiplied be $x.$
$\Rightarrow x\times \frac{-3}{4}=\frac{-9}{16}$
$\Rightarrow x=\frac{-9\times 4}{16\times -3}$
$\Rightarrow x=\frac{3}{4}$