Find two rational number between $\frac{1}{2}$ and $\frac{1}{3}$.


Given:  Two rational numbers $\frac{1}{2}$ and $\frac{1}{3}$.

To do: To find tworational numbers between $\frac{1}{2}$ and $\frac{1}{3}$.

Solution:


 $\frac{1}{2}\times \frac{3}{3} $ and $\frac{1}{3}\times \frac{2}{2} $

$=\frac{3}{6},\ \frac{2}{6}$

$\frac{3}{6}\times \frac{4}{4},\ \frac{2}{6}\times \frac{4}{4} $

$=\frac{12}{24},\ \frac{8}{24}$

Therefore, two rational no. between $\frac{1}{2} $ and $\frac{1}{3} $ are: $\frac{13}{24}$ and $\frac{7}{12}$.

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Updated on: 10-Oct-2022

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