Question

The product of two rational numbers is $\frac{-2}{3}$. If one number is $\frac{3}{7}$, then find the other.

Answer 1

Let the other number be $x$.
Given, $\frac{3}{7}\times x=\frac{-2}{3}$
Multiplying by the reciprocal of $\frac{3}{7}$, that is $\frac{7}{3}$ on both sides,
$\begin{array}{c}\Rightarrow \frac{7}{3}\times \frac{3}{7}\times x=\frac{7}{3}\times \frac{-2}{3}\\ \Rightarrow x=\frac{-14}{9}\end{array}$