Question

The product of two rational numbers is $\frac{-9}{16}$. If one of the numbers is $\frac{-4}{3}$, what is the other number?

• A. $\frac{36}{48}$
• B. $\frac{25}{64}$
• C. $\frac{27}{49}$
• D. $\frac{27}{64}$

Answer 1

The correct option is D $\frac{27}{64}$

Let x be the other number.

$x\times \frac{-4}{3}=\frac{-9}{16}$ (given)

$x=\frac{-9}{16}÷\frac{-4}{3}$

$x=\frac{-9}{16}\times \frac{3}{-4}$

$x=\frac{27}{64}$

Therefore, the other number is $\frac{27}{64}$.