Question

By what number should $\frac{-3}{4}$ be multiplied in order to produce $\frac{2}{3}?$

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{other}\mathrm{number}\mathrm{that}\mathrm{should}\mathrm{be}\mathrm{multiplied}\mathrm{with}\frac{-3}{4}\mathrm{to}\mathrm{produce}\frac{2}{3}be\mathrm{x}. \\ \therefore \mathrm{x}\times \frac{-3}{4}=\frac{2}{3} \\ \mathrm{or}\mathrm{x}=\frac{2}{3}÷\frac{-3}{4} \\ \mathrm{or}\mathrm{x}=\frac{2}{3}\times \frac{4}{-3} \\ \mathrm{or}x=\frac{-8}{9} \\ Thus,\mathrm{the}\mathrm{number}\mathrm{is}\frac{-8}{9}. \end{gathered}$$