#### Answer

Estimated 9
Exact $8 \frac{5}{6}$

#### Work Step by Step

To estimate when adding fractions, round to the nearest whole number.
$5\frac{1}{2}$ rounds up to 6 because the fraction is $\frac{1}{2}$ or greater.
$3\frac{1}{3}$ rounds to 3 because the fraction is less than $\frac{1}{2}$.
$6+3=9$
To add mixed numbers, add the whole numbers and add the fractions after converting to least common denominator.
$\ \ \ 5\frac{1}{2}$ $\Rightarrow $ $\ \ \ 5\frac{3}{6}$
$\underline{+3\frac{1}{3}}$ $\ \ \ \ $ $\underline{+3\frac{2}{6}}$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ $ $8\frac{5}{6}$