Question

The product of two rational numbers is . If one of the numbers is , find the other.

Answer 1

$\begin{array}{l}\text{Let the other number be x.}\\ x\times \left(\frac{-4}{3}\right)=\frac{-16}{9}\\ \begin{array}{l}\begin{array}{l}=>x=\frac{-16}{9}÷\left(\frac{-4}{3}\right)\\ =\frac{-\sout{1}{\sout{6}}^4}{{\cancel{9}}_3}\times \left(\frac{{\cancel{3}}^1}{-{\cancel{4}}_1}\right)\end{array}\\ =\frac{4}{3}\end{array}\\ \mathrm{Hence},\mathrm{the}\mathrm{other}\mathrm{number}\mathrm{is}\frac{4}{3}.\end{array}$