Question

Write three rational numbers that lie between the two given numbers.
$\frac{2}{7},\frac{6}{7}$

Answer 1

Given: $\frac{2}{7},\frac{6}{7}$

Now, we know that,

$2<3<4<5<6$

Therefore, dividing each number by $7$, we get,

$\frac{2}{7}<\frac{3}{7}<\frac{4}{7}<\frac{5}{7}<\frac{6}{7}$

Hence, three rational numbers between $\frac{2}{7}$ and $\frac{6}{7}$ are $\frac{3}{7},\frac{4}{7},\frac{5}{7}$.