Question

By what number should we multiply $\frac{-1}{6}$ so that the product may be $\frac{-23}{9}?$

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{number}be\mathrm{x}. \\ \therefore \mathrm{x}\times \frac{-1}{6}=\frac{-23}{9} \\ \mathrm{x}=\frac{-23}{9}÷\frac{-1}{6} \\ \mathrm{x}=\frac{-23}{9}\times \frac{6}{-1}=\frac{46}{3} \\ \mathrm{Therefore},\mathrm{the}\mathrm{other}\mathrm{number}\mathrm{is}\frac{46}{3}. \end{gathered}$$