Find 5 rational numbers between 2 and $ \frac{4}{5} $.

Given: $2$ and $\frac{4}{5}$.

To find: We need to find 5 rational numbers between $2$ and $\frac{4}{5}$.

Solution: 

To solve this question, first, we need to convert them into like fractions.

LCM of denominators (1 and 5) is 5. Now we have to change the fractions in such a way that denominators become 5.

To convert into like fractions we will multiply the numerator and denominator of $\frac{2}{1}$ with 5.

$\frac{2}{1} \ =\ \frac{2}{1}\ \times\ \frac{5}{5}\ =\ \frac{10}{5}$

Now, our numbers are $\frac{4}{5}$ and $\frac{10}{5}$.

Rational numbers between $\frac{4}{5}$ and $\frac{10}{5}$ are: 

$\frac{5}{5}=1,\ \frac{6}{5},\ \frac{7}{5},\ \frac{8}{5}\ and\ \frac{9}{5}$.

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Updated on: 10-Oct-2022

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