The rational number between $\frac{2}{3}$ and $\frac{3}{4}$ and is equidistant from them is

The rational number between ant two rational numbers and  and  is equidistant from them is

$\frac{a+b}{2}=\frac{\frac{2}{3}+\frac{3}{4}}{2}$

$=\frac{\frac{8+9}{12}}{\frac{2}{1}}=\frac{17}{12}\times \frac{1}{2}=\frac{17}{24}$