Basic College Mathematics (10th Edition)

Published by Pearson

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