Question
Insert a rational number between:$\frac{3}{4}$ and $\frac{5}{7}$

Answer

A rational number lying between $\frac{3}{4}$ and $\frac{5}{7}$
$=\frac{\frac{3}{4}+\frac{5}{7}}{2} $
$=\frac{\frac{21+20}{28}}{2} $
$=\frac{\frac{41}{28}}{2} $
$=\frac{41}{56}$

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