Question

Find a rational number between $\frac{1}{4}\mathrm{and}\frac{1}{3}.$

Answer 1

$$\begin{gathered} \mathrm{Required}\mathrm{number}=\frac{1}{2}(\frac{1}{4}+\frac{1}{3}) \\ =\frac{1}{2}\left(\frac{3+4}{12}\right) \\ =(\frac{1}{2}\times \frac{7}{12}) \\ =\frac{7}{24} \end{gathered}$$