Question

Find five Rational numbers between $\frac{-3}{2}$ and $\frac{5}{3}$.

Answer 1

Compute the required rational numbers :

A Rational number can be defined as, any number which can be expressed in the form of $\frac{p}{q}$, where $q\ne 0$.

• Given two rational numbers are $\frac{-3}{2}$ and $\frac{5}{3}$.
• By equating the denominators, we get, $\frac{-9}{6}$ and $\frac{10}{6}$ respectively.
• Therefore any five rational numbers between $\frac{-9}{6}$ and $\frac{10}{6}$ can be $\frac{-7}{6},\frac{-5}{6},\frac{1}{6},\frac{5}{6}$ and $\frac{7}{6}$.

Hence, the five rational numbers between $\frac{-3}{2}$ and $\frac{5}{3}$ are $\frac{-7}{6},\frac{-5}{6},\frac{1}{6},\frac{5}{6}$ and $\frac{7}{6}$.