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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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