Find $3$ rational numbers between $-3$ and $\frac{1}{3}$.

Given: Two rational numbers $-3$ and $\frac{1}{3}$.

To do: To find $3$ rational numbers between the given two rational numbers.

Solution:

Given rational numbers are: $-3$ and $\frac{1}{3}$.

As known, rational number between two rational numbers $a$ and $b=\frac{a+b}{2}$

Therefore,  rational number between two rational numbers $-3$ and $\frac{1}{3}=\frac{-3+\frac{1}{3}}{2}$

$=\frac{\frac{-9+1}{3}}{3}$

$=\frac{-8}{3}$

Therefore, next two rational numbers between $-3$ and $\frac{1}{3}$ are $\frac{-7}{3}$ and $\frac{-6}{3}$.

Thus, $3$ rational numbers between two rational numbers $-3$ and $\frac{1}{3}$ are: $\frac{-8}{3},\ \frac{-7}{3}$ and $\frac{-6}{3}$

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Updated on: 10-Oct-2022

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