Question

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

Answer 1

Rational number between $\frac{1}{4}$ and $\frac{1}{3}=\frac{1}{2}[\frac{1}{4}+\frac{1}{3}]$

$=\frac{1}{2}\left[\frac{3+4}{12}\right]=\frac{1}{2}\times \frac{7}{12}=\frac{7}{24}$

Thus, $\frac{7}{24}$ is a rational number between $\frac{1}{4}$ and $\frac{1}{3}$.