Question

What number should be added to $\frac{-3}{5}\mathrm{to}\mathrm{get}\frac{2}{3}?$

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{required}\mathrm{number}\mathrm{be}x. \\ \mathrm{Thus},\mathrm{we}\mathrm{have}: \\ x+\frac{(-3)}{5}=\frac{2}{3} \\ \Rightarrow x-\frac{3}{5}=\frac{2}{3} \\ \Rightarrow x=\frac{2}{3}+\frac{3}{5}=\frac{2\times 5+3\times 3}{15} \\ \Rightarrow x=\frac{10+9}{15} \\ \Rightarrow x=\frac{19}{15} \end{gathered}$$