Question

Find four rational numbers between $\frac{3}{7}$ and $\frac{5}{7}$

Answer 1

Given: $\frac{3}{7}$ and $\frac{5}{7}$

To find rational numbers between any two rational numbers, we have to multiply and divide both the given numbers by the same whole number.

So, here we can multiply and divide both the given numbers by 5,

$\frac{3}{7}=\frac{3}{7}\times \frac{5}{5}=\frac{15}{35}$

$\frac{5}{7}=\frac{5}{7}\times \frac{5}{5}=\frac{25}{35}$

Thus, four rational numbers between $\frac{3}{7}$ and $\frac{5}{7}$ can be $\frac{16}{35},\frac{18}{35},\frac{21}{35},\frac{23}{35}$