Question

By what number should we multiply $\frac{-15}{28}$ so that the product may be $\frac{-5}{7}?$

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{other}\mathrm{number}be\mathrm{x}. \\ \therefore \mathrm{x}\times \frac{-15}{28}=\frac{-5}{7} \\ \mathrm{or}\mathrm{x}=\frac{-5}{7}÷\frac{-15}{28} \\ \mathrm{or}\mathrm{x}=\frac{-5}{7}\times \frac{28}{-15} \\ \mathrm{or}\mathrm{x}=\frac{4}{3} \\ Thus,\mathrm{the}\mathrm{other}\mathrm{number}\mathrm{is}\frac{4}{3}. \end{gathered}$$