Question

The sum of two rational numbers is $\frac{-1}{2}$. If one of the numbers is $\frac{5}{6}$, find the other.

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{other}\mathrm{number}\mathrm{be}x. \\ \mathrm{Now}, \\ x+\frac{5}{6}=\frac{-1}{2} \\ \Rightarrow x=-\frac{1}{2}-\frac{5}{6} \\ \Rightarrow x=\frac{-3-5}{6} \\ \Rightarrow x=\frac{-8}{6} \\ \Rightarrow x=\frac{-4}{3} \end{gathered}$$