Question

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

Answer 1

There are infinite rational numbers between $\frac{3}{5}and\frac{4}{5}$.

$\left(\frac{3}{5}\right)\times \left(\frac{6}{6}\right)=\frac{18}{30}and\left(\frac{4}{5}\right)\times \left(\frac{6}{6}\right)=\frac{24}{30}$

Now, 18 < 19 < 20 < 21 < 22 < 23 < 24

$So,\frac{18}{30}$<$\frac{19}{30}$<$\frac{20}{30}$<$\frac{21}{30}$<$\frac{22}{30}$<$\frac{23}{30}$<$\frac{24}{30}$

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

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