Find one rational number between $\frac{3}{5} \ and \frac{4}{5}$.

Given:

Our numbers are $\frac{3}{5}$ and $\frac{4}{5}$.

To do:  Find one rational number between the given two numbers.

Solution:

Now in between the numerators 3 and 4, there are no numbers.

So we have to multiply both the numbers numerator and denominator to see

that there are sufficient numbers.

Let us multiply both the numbers numerator and denominator with 2.

$\frac{3}{5} \times \frac{2}{2} =  \frac{6}{10}$.

$\frac{4}{5} \times \frac{2}{2} = \frac{ 8}{10}$

So, the two numbers are $\frac{6}{10}$ and $\frac{8}{10}$

Between $\frac{6}{10}$ and $\frac{8}{10}$ we have $\frac{7}{10}$ which is a

rational number.

Therefore one the one rational number between $\frac{3}{5} \ and \frac{4}{5}$. is $\frac{7}{10}$

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Updated on: 10-Oct-2022

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