Question

Find any ten rational numbers between $\frac{-5}{6}and\frac{5}{8}$.

Answer 1

We first convert $\frac{-5}{6}and\frac{5}{8}$ to rational numbers with the same denominators.

$\frac{-5\times 4}{6\times 4}=\frac{-20}{24}and\frac{5\times 3}{8\times 3}=\frac{15}{24}$.

Thus we have, $\frac{-19}{24},\frac{-18}{24},\frac{-17}{24}......\frac{14}{24}$ as the rational numbers between $\frac{-20}{24}and\frac{15}{24}$.

$So\frac{-19}{24},\frac{-18}{24},\frac{-17}{24},.........\frac{-10}{24},.....\frac{-10}{24}$ are the ten rational numbers.