Question

Find a rational number between $\frac{2}{3}$ and $\frac{3}{4}$.

Answer 1

Rational number between $\frac{2}{3}$ and $\frac{3}{4}$is,

$\frac{\frac{2}{3}+\frac{3}{4}}{2}$

$=\frac{\frac{8}{12}+\frac{9}{12}}{2}$

$=\frac{17}{12}\times \frac{1}{2}$

$=\frac{17}{24}$

Therefore, $\frac{17}{24}$ is a rational number between $\frac{2}{3}$ and $\frac{3}{4}$.