Question

Find any two rational numbers between $(-\frac{5}{7})$ and $(-\frac{2}{7})$.

Answer 1

Given rational numbers are $\frac{-5}{7}$ and $\frac{-2}{7}$

To find out: Any two rational numbers between them.

The given rational numbers already have the same denominator.

Hence, we can directly find the rational numbers between them by simply adding $1$ to the numerator of the smaller number.

$\therefore$ The numerators will be:

$-5+1=-4$

and $-4+1=-3$

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

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