How to Find A Rational Number Between 2/3 And 4/5?

Given $\frac{2}{3}$ and $\frac{4}{5}$

To find a rational number between $\frac{2}{3}$ and $\frac{4}{5}$

Solution

First, let us find the LCM of 3, and 5 which is 15. 

Now we will rewrite $\frac{2}{3}$ and$\frac{4}{5}$ as their equivalent fractions with denominator 15

$\frac{2\times 5}{3\times 5}$ and $\frac{4\times 3}{5\times 3}$ or

$\frac{10}{15}$ and$\frac{12}{15}$

A rational number between these rational numbers can be $\frac{11}{15}$

So a rational number between  $\frac{2}{3}$ and$\frac{4}{5}$ is $\frac{11}{15}$

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Updated on: 10-Oct-2022

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