Question

Add : $7\frac{3}{4}$ + $2\frac{1}{3}$ = ____

• A. $10\frac{1}{12}$
• B. $10\frac{5}{12}$
• C. $9\frac{1}{12}$
• D. $12\frac{1}{6}$

Answer 1

The correct option is A $10\frac{1}{12}$

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

$2\frac{1}{3}=\frac{2\times 3+1}{3}=\frac{7}{3}$

Thus, $7\frac{3}{4}+2\frac{1}{3}=$ $\frac{31}{4}+\frac{7}{3}$

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

$=$ $\frac{(93+28)}{12}$

$=\frac{121}{12}$

$=10\frac{1}{12}$