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: 11

Answer

$\frac{23}{36}$

Work Step by Step

The LCD of the original denominators, 9 and 12, is 36. Therefore, we can rewrite both fractions with a denominator of 36. $\frac{2}{9}+\frac{5}{12}=\frac{2\times4}{9\times4}+\frac{5\times3}{12\times3}=\frac{8}{36}+\frac{15}{36}=\frac{15+8}{36}=\frac{23}{36}$
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