Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10: 0134467795
ISBN 13: 978-0-13446-779-5

Chapter 3 - Adding and Subtracting Fractions - 3.4 Adding and Subtracting Mixed Numbers - 3.4 Exercises - Page 227: 9

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 $ $\ \ \ 5\frac{3}{6}$ $\underline{+3\frac{1}{3}}$ $\ \ \ \ $ $\underline{+3\frac{2}{6}}$ $\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ $ $8\frac{5}{6}$
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