Question

Find three rational number between $\frac{5}{7}$ and $\frac{9}{11}$.

Answer 1

$\frac{5}{7}$ and $\frac{9}{11}$, LCM of (7, 11) is 77
$\frac{5}{7}\times \frac{11}{11}=\frac{55}{77}$ so, three number between
$\frac{55}{77}+\frac{63}{77}$
$\frac{9}{11}\times \frac{7}{7}=\frac{63}{77}$
$\frac{56}{77},\frac{57}{77},\frac{58}{77}$