Question
Insert a rational number between:$\frac{5}{9}$ and $\frac{6}{7}$

Answer

A rational number lying between $\frac{5}{9}$ and $\frac{6}{7}$
$=\frac{\frac{5}{9}+\frac{6}{7}}{2} $
$=\frac{\frac{35+54}{63}}{2} $
$=\frac{\frac{89}{63}}{2}$
$=\frac{89}{126}$

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