Find five rational numbers between $\frac{3}{5}$ and $\frac{4}{5}$.

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There are infinite rational numbers between $\frac{3}{5}$ and $\frac{4}{5}$

$\frac{3}{5}=\frac{3 \times 6}{5 \times 6}=\frac{18}{30}$

$\frac{4}{5}=\frac{4 \times 6}{5 \times 6}=\frac{24}{30}$

Therefore, $5$ rational numbers between $\frac{3}{5}$ and $\frac{4}{5}$ (i.e. $\frac{18}{30}$ $ \frac{24}{30})$ are

$\frac{19}{30}, \,\frac{20}{30},\, \frac{21}{30}, \,\frac{22}{30},\, \frac{23}{30}$

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