Find two rational numbers between $\frac{1}{5}$ and $\frac{1}{2}$.


Given: 

Given rational numbers are $\frac{1}{5}$ and $\frac{1}{2}$.

To do:  

We have to find two rational numbers between $\frac{1}{5}$ and $\frac{1}{2}$.

Solution:

LCM of 5 and 2 is 10.

$\frac{1}{5}$ can be written as

$\frac{1}{5}=\frac{1\times2}{5\times2}$

$=\frac{2}{10}$

$\frac{1}{2}=\frac{1\times5}{2\times5}$

$=\frac{5}{10}$

$\frac{3}{10}$ and $\frac{4}{10}$ lie between $\frac{2}{10}$ and $\frac{5}{10}$

Therefore,

Two rational numbers between $\frac{1}{5}$ and $\frac{1}{2}$ are $\frac{3}{10}, \frac{4}{10}$.

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Updated on: 10-Oct-2022

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