Basic College Mathematics (10th Edition)

Estimated 9 Exact $8 \frac{5}{6}$
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. $\ \ \ 5\frac{1}{2}$ $\Rightarrow$ $\ \ \ 5\frac{3}{6}$ $\underline{+3\frac{1}{3}}$ $\ \ \ \$ $\underline{+3\frac{2}{6}}$ $\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \$ $8\frac{5}{6}$