Basic College Mathematics (9th Edition)

Published by Pearson
ISBN 10: 0321825535
ISBN 13: 978-0-32182-553-7

Chapter 3 - Adding and Subtracting Fractions - 3.3 Adding and Subtracting Unlike Fractions - 3.3 Exercises: 16

Answer

$\frac{23}{30}$

Work Step by Step

The LCM of the original denominators, 3, 6, and 15, is 30. Therefore, we can rewrite the original fractions with a denominator of 30. $\frac{4}{15}+\frac{1}{6}+\frac{1}{3}=\frac{4\times2}{15\times2}+\frac{1\times5}{6\times5}+\frac{1\times10}{3\times10}=\frac{8}{30}+\frac{5}{30}+\frac{10}{30}=\frac{8+5+10}{30}=\frac{23}{30}$
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