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

Answer

$\frac{2}{3}\text{ and }\frac{4}{5}$ can be represented as $\frac{30}{45}\text{ and }\frac{36}{45}$ respectively.
Therefore, five rational numbers between $\frac{2}{3}\text{ and }\frac{4}{5}$ are
$\frac{31}{45},\frac{32}{45},\frac{33}{45},\frac{34}{45},\frac{35}{45}$

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