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: 19

Answer

$\frac{3}{8}$

Work Step by Step

We can perform vertical addition using the same techniques as horizontal addition. The LCM of the original denominators, 4 and 8, is 8. Therefore, we can rewrite the original fractions with a denominator of 8. $\frac{1}{4}+\frac{1}{8}=\frac{1\times2}{4\times2}+\frac{1}{8}=\frac{2}{8}+\frac{1}{8}=\frac{2+1}{8}=\frac{3}{8}$
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