Question

Find four rational Numbers between $\frac{1}{2}$ and $\frac{2}{3}$

Answer 1

$\frac{1}{2}=\frac{3}{6}=\frac{30}{60}$

$\frac{2}{3}=\frac{4}{6}=\frac{40}{60}$

Thus, common denominator of both the fractions is $60$.

So, four rational numbers are :

$\frac{31}{60},\frac{32}{60},\frac{33}{60},\frac{34}{60}$