Question

Find a rational number between $\frac{-1}{3}\mathrm{and}\frac{1}{2}.$

Answer 1

$$\begin{gathered} \mathrm{Required}\mathrm{number}=\frac{1}{2}\times \left(\frac{-1}{3}+\frac{1}{2}\right) \\ =\frac{1}{2}\times \left(\frac{-2+3}{6}\right) \\ =\frac{1}{2}\times \frac{1}{6} \\ =\frac{1}{12} \end{gathered}$$