Question

$5\frac{5}{3}+7\frac{5}{2}=?$

• 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 $16\frac{1}{6}$

Here, we have been given mixed fractions.

Before adding, we need to convert them to improper fractions.

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

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

Now, $5\frac{5}{3}+7\frac{5}{2}$

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

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

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

=$\frac{40+57}{6}=\frac{97}{6}=16\frac{1}{6}$