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: 17

Answer

$\frac{29}{36}$

Work Step by Step

The LCM of the original denominators, 6, 9, and 12, is 36. Therefore, we can rewrite the original fractions with a denominator of 36. $\frac{5}{12}+\frac{2}{9}+\frac{1}{6}=\frac{5\times3}{12\times3}+\frac{2\times4}{9\times4}+\frac{1\times6}{6\times6}=\frac{15}{36}+\frac{8}{36}+\frac{6}{36}=\frac{15+8+6}{36}=\frac{29}{36}$
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