Question

The product of two rational numbers is $\frac{-36}{49}$ . If one the numbers is $\frac{-4}{7}$, find the other number.

• A. $\frac{-5}{49}$
• B. $\frac{-3}{7}$
• C. $\frac{9}{7}$
• D. $\frac{7}{4}$

Answer 1

The correct option is C

$\frac{9}{7}$

Let the required number be $x$.

We have $x\times \frac{-4}{7}$ = $\frac{-36}{49}$

$\Rightarrow$ $x=\frac{-36}{49}÷\frac{-4}{7}$

$\Rightarrow$ $x=\frac{-36}{49}\times \frac{-7}{4}$

$\Rightarrow$ $x=\frac{9}{7}$