Question

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

• A. - 8
• B. 9
• C. - 10
• D. 10

Answer 1

The correct option is C

- 10

Let the required number be $x$.

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

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

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

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