Basic College Mathematics (10th Edition)

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

Chapter 3 - Adding and Subtracting Fractions - 3.3 Adding and Subtracting Unlike Fractions - 3.3 Exercises - Page 219: 4



Work Step by Step

First, we must find the least common denominator (or the denominator that is the least common multiple of the original denominators) of 3 and 6. 3- 3, 6 6- 6 Therefore, the LCM of 3 and 6 is 6. Next, we can rewrite the two fractions as like fractions and add them together. $\frac{1}{6}+\frac{2}{3}=\frac{1}{6}+\frac{2\times2}{3\times2}=\frac{1}{6}+\frac{4}{6}=\frac{1+4}{6}=\frac{5}{6}$
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