Question

What is the sum of $3\frac{2}{3}+7\frac{5}{4}$ ?

Answer 1

$3\frac{2}{3}=\frac{3\times 3+2}{3}=\frac{11}{3}$ and

$7\frac{3}{4}=\frac{7\times 4+3}{4}=\frac{31}{4}$

Thus, $3\frac{2}{3}+7\frac{3}{4}=(\frac{11}{3}+\frac{31}{4})$

$=\frac{11\times 4}{3\times 4}+\frac{31\times 3}{4\times 3}$

$=\frac{44+93}{12}$

$=\frac{137}{12}$

$=11\frac{5}{12}$