Question

Find $10$ rational numbers between $\frac{-2}{5}$ and $\frac{1}{2}$.

Answer 1

Find the rational number:

The given fractions are,

$\frac{-2}{5}$ and $\frac{1}{2}$

The LCM between these two fractions are $10$.

Therefore, their equivalent fractions are,

$\frac{-4}{10}$ and $\frac{5}{10}$.

Since we require $10$ rational numbers, we will rewrite the above fractions such that there are at least $10$ numbers between the numerators of both fractions,

i.e.,$\frac{-8}{20}$ and $\frac{10}{20}$.

Hence, the $10$ rational numbers are $\frac{-7}{20},\frac{-6}{20},\frac{-5}{20},\frac{-4}{20},\frac{-3}{20},\frac{-2}{20},\frac{-1}{20},\frac{1}{20},\frac{2}{20},\frac{3}{20}$.