Question

The product of two rational numbers is $\frac{-8}{9}$. If one of the number is $\frac{-4}{15}$, Find the other number.

• A. $\frac{10}{7}$
• B. $\frac{5}{3}$
• C. $\frac{10}{3}$
• D. $\frac{7}{13}$

Answer 1

The correct option is C $\frac{10}{3}$

Let, the other number be $x$.
So, $x\times \frac{-4}{15}=\frac{-8}{9}$
$\Rightarrow =\frac{-8}{9}÷\frac{-4}{15}\Rightarrow x=\frac{-8}{9}\times \frac{15}{-4}\Rightarrow x=\frac{10}{3}$
Thus, the other number is $\frac{10}{3}$