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: 15

Answer

$\frac{23}{24}$

Work Step by Step

The LCM of the original denominators, 3, 4, and 8, is 24. Therefore, we can rewrite the original fractions with a denominator of 24. $\frac{1}{3}+\frac{3}{8}+\frac{1}{4}=\frac{1\times8}{3\times8}+\frac{3\times3}{8\times3}+\frac{1\times6}{4\times6}=\frac{8}{24}+\frac{9}{24}+\frac{6}{24}=\frac{8+9+6}{24}=\frac{23}{24}$
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