Question
List five rational numbers between $\frac{-4}{5} \text { and } \frac{-2}{3}$

Answer

Here, we have to find five rational numbers that lie between the numbers
$\frac{-4}{5},$ and $\frac{-2}{3}$
Now making the denominator same,
$-\frac{4}{5}=\frac{-4 \times 9}{5 \times 9}=-\frac{36}{45}$
And, $-\frac{2}{3}=\frac{-2 \times 15}{3 \times 15}=-\frac{30}{45}$
Therefore, we write five rational numbers between $\frac{-4}{5},$ and $\frac{-2}{3}$ as:
$-\frac{35}{45},-\frac{34}{45},-\frac{33}{45},-\frac{32}{45},-\frac{31}{45}$

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