Question

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

Answer 1

Consider the rational numbers $\frac{-5}{6}$ and $\frac{5}{8}$

Making the denominator same

$\frac{-5}{6}=\frac{-5}{6}\times \frac{4}{4}=\frac{-20}{24}$

$\frac{5}{8}=\frac{5}{8}\times \frac{3}{3}=\frac{15}{24}$

$\therefore$ Ten rational numbers between $\frac{-5}{6}$ and

$\frac{5}{8}$ are

$\frac{-19}{24},\frac{-18}{24},\frac{-17}{24},\frac{-16}{24},\frac{-15}{24},\frac{-14}{24},\frac{-13}{24},\frac{-12}{24},\frac{-11}{24},\frac{-10}{24}$