Q.3. Find five rational numbers between $\frac{3}{5}$ and $\frac{4}{5}$.

Solution:

The given numbers can be represented as,

$\frac{3}{5}=\frac{3}{5}×\frac{6}{6}=\frac{18}{30}$

$\frac{4}{5}=\frac{4}{5}×\frac{6}{6}=\frac{24}{30}$

Therefore, five rational numbers between $\frac{3}{5}$ and $\frac{4}{5}$ are

$\frac{19}{30},\frac{20}{30},\frac{21}{30},\frac{22}{30},\frac{23}{30}.$