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: 12

Answer

$\frac{29}{36}$

Work Step by Step

The LCD of the original denominators, 3, 4, and 9, is 36. Therefore, we can rewrite all three fractions with a denominator of 36. $\frac{1}{4}+\frac{2}{9}+\frac{1}{3}=\frac{1\times9}{4\times9}+\frac{2\times4}{9\times4}+\frac{1\times12}{3\times12}=\frac{9}{36}+\frac{8}{36}+\frac{12}{36}=\frac{9+8+12}{36}=\frac{29}{36}$
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