Question:
Find five rational numbers between $\frac{3}{5}$ and $\frac{4}{5}$.
Solution:
We need to find 5 rational numbers between $\frac{3}{5}$ and $\frac{4}{5}$.
Since, LCM of denominators $=L C M(5,5)=5$
So, consider
$\frac{3}{5}=\frac{3}{5} \times \frac{6}{6}$
$\Rightarrow \frac{3}{5}=\frac{18}{30}$
And,
$\Rightarrow \frac{4}{5}=\frac{4}{5} \times \frac{6}{6}$
$\Rightarrow \frac{4}{5}=\frac{24}{30}$
