Write ten rational numbers between $\frac{3}{7}$ and $\frac{2}{9}$

Given :

The given numbers are $\frac{3}{7}$ and $\frac{2}{9}$.

To find:

We have to find ten rational numbers between $\frac{3}{7}$ and $\frac{2}{9}$.

Solution :

To find ten rational numbers between $\frac{3}{7}$ and $\frac{2}{9}$,

Find the LCM of the denominators 7 and 9 which is 63.

Convert both the fractions into fractions with denominators of 63.

$\frac{3}{7} = \frac{3\times9}{7\times9} = \frac{27}{63}$

$\frac{2}{9}= \frac{2\times7}{9\times7} = \frac{14}{63}$

Therefore,

Ten rational numbers between $\frac{3}{7}$ and $\frac{2}{9}$, are $\frac{15}{63}, \frac{16}{63},\frac{17}{63}, \frac{18}{63}, \frac{19}{63}, \frac{20}{63},\frac{21}{63}, \frac{22}{63},\frac{23}{63}, \frac{23}{63},\frac{24}{63},\frac{25}{63}$.

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Updated on: 10-Oct-2022

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