Question

The product of two rational numbers is $\frac{14}{5}$. If one of them is $\frac{-7}{6},$ find the other.

• A. $\frac{12}{5}$
• B. $\frac{-12}{5}$
• C. $\frac{-6}{5}$
• D. $\frac{-8}{5}$

Answer 1

The correct option is B

$\frac{-12}{5}$

Let the second number be $x.$

As per problem,

$\frac{-7}{6}\times x=\frac{14}{5}$

$\Rightarrow x=\frac{14}{5}÷\frac{-7}{6}$

$\Rightarrow x=\frac{14}{5}\times \frac{6}{-7}$

$\Rightarrow x=\frac{-12}{5}$