Question

The product of two rational numbers is $\frac{-25}{36}$ . If one of the numbers is $\frac{-5}{6}$, find the other number.

• A. $\frac{5}{6}$
• B. $\frac{-5}{6}$
• C. $\frac{6}{5}$
• D. $\frac{6}{5}$

Answer 1

The correct option is A $\frac{5}{6}$

Let the required number be $x$ .

$\text{We have}x\times \frac{-5}{6}$ $=\frac{-25}{36}$

$\Rightarrow x=\frac{-25}{36}÷\frac{-5}{6}$

$\Rightarrow x=\frac{-25}{36}\times \frac{-6}{5}$

$\Rightarrow x=\frac{5}{6}$