Question

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

Answer 1

To find out rational numbers between $\frac{3}{7}$ and $\frac{5}{7}$, we convert the given rational numbers into their equivalent rational numbers by multiplying the same number in the numerator and denominator.

So, $\frac{3\times 10}{7\times 10}=\frac{30}{70}$

and, $\frac{5\times 10}{7\times 10}=\frac{50}{70}$

$\frac{30}{70}<\frac{31}{70}<\frac{32}{70}<\frac{33}{70}<\frac{34}{70}.....<\frac{50}{70}$

Now $4$ rational numbers between $\frac{3}{7}$ and $\frac{5}{7}$ are $\frac{31}{70},\frac{32}{70},\frac{33}{70},\frac{34}{70}$