Question

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

Answer 1

Let us consider a rational number between $\frac{1}{4}$ and $\frac{1}{3}$ be $x$
We can find the rational number using the formula $x=\frac{1}{2}(\frac{1}{4}+\frac{1}{3})$
So,$x=\frac{1}{2}(\frac{1}{4}+\frac{1}{3})$
$=\frac{1}{2}\left(\frac{3+4}{12}\right)$
$=\frac{1}{2}\times \frac{7}{12}$
$=\frac{7}{24}$
$\therefore$ a rational number between $\frac{1}{4}$ and $\frac{1}{3}$ is $\frac{7}{24}$.