Question

Subtract as indicated :
$5\frac{6}{7}-2\frac{2}{3}$

Answer 1

$5\frac{6}{7}-2\frac{2}{3}\Rightarrow \frac{41}{7}-\frac{8}{3}$

Taking L.C.M of $7$ and $3$ we get $21$. So,

$1^{st}$ fraction becomes $\frac{41}{7}=\frac{41\times 3}{7\times 3}=\frac{123}{21}$

$2^{nd}$ fraction becomes $\frac{8}{3}=\frac{8\times 7}{3\times 7}=\frac{56}{21}$

So,

$5\frac{6}{7}-2\frac{2}{3}=\frac{123}{21}-\frac{56}{21}=\frac{123-56}{21}=\frac{67}{21}$