Question

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

• 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 the other number be $x$

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

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

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