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: 20

Answer

$\frac{17}{24}$

Work Step by Step

We can perform vertical addition using the same techniques as horizontal addition. The LCM of the original denominators, 12 and 8, is 24. Therefore, we can rewrite the original fractions with a denominator of 24. $\frac{7}{12}+\frac{1}{8}=\frac{7\times2}{12\times2}+\frac{1\times3}{8\times3}=\frac{14}{24}+\frac{3}{24}=\frac{14+3}{24}=\frac{17}{24}$
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