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: 18

Answer

$\frac{5}{6}$

Work Step by Step

We can perform vertical addition using the same techniques as horizontal addition. The LCM of the original denominators, 3 and 6, is 6. Therefore, we can rewrite the original fractions with a denominator of 6. $\frac{2}{3}+\frac{1}{6}=\frac{2\times2}{3\times2}+\frac{1}{6}=\frac{4}{6}+\frac{1}{6}=\frac{4+1}{6}=\frac{5}{6}$
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