Find two rational number between -4/3 and 3/7

Given: Two rational number $-\frac{4}{3}$ and $\frac{3}{7}$.

To do: To find two rational number between $-\frac{4}{3}$ and $\frac{3}{7}$.

Solution:

Given numbers are: $-\frac{4}{3}$ and $\frac{3}{7}$.

$L.C.M.$ of the denominators $3$ and $7$ is $21$.

Thus, $-\frac{4}{3}=-\frac{4}{3}\times \frac{7}{7}=-\frac{28}{21}$

And $\frac{3}{7}=\frac{3}{7}\times\frac{3}{3}=\frac{9}{21}$

Two rational numbers between $-\frac{4}{3}$ and $\frac{3}{7}$ are: $-\frac{3}{7},\ -\frac{2}{7}$

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Updated on: 10-Oct-2022

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