Question

How many rational numbers can be determined between $\frac{3}{5}and\frac{7}{8}$.

Answer 1

Multiplying $\frac{3}{5}$ by $\frac{8}{8}$ and $\frac{7}{8}$ by $\frac{5}{5}$ to make the denominator equal

$\Rightarrow \frac{3}{5}\times \frac{8}{8}$ and $\frac{7}{8}\times \frac{5}{5}$

$\Rightarrow \frac{24}{40}$ and $\frac{35}{40}$

So, the rational number between $\frac{24}{40}$ and $\frac{35}{40}$ are:-

$\frac{25}{40},\frac{26}{40},\frac{27}{40},\frac{28}{40},\frac{29}{40},\frac{30}{40},\frac{31}{40},\frac{32}{40},\frac{33}{40},\frac{34}{40}$