Question

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

• A. $15\frac{6}{7}$
• B. $16\frac{1}{6}$
• C. $14\frac{7}{6}$
• D. $17\frac{1}{6}$

Answer 1

The correct option is B

$16\frac{1}{6}$

$5\frac{5}{3}=\frac{5\times 3+5}{3}=\frac{20}{3}$ and

$7\frac{5}{2}=\frac{7\times 2+5}{2}=\frac{19}{2}$

Thus, $5\frac{5}{3}+7\frac{5}{2}=(\frac{20}{3}+\frac{19}{2})$

$=\frac{20\times 2}{3\times 2}+\frac{19\times 3}{2\times 3}$

$=\frac{40+57}{6}$

$=\frac{97}{6}$

$=16\frac{1}{6}$