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: 5

Answer

$\frac{8}{9}$

Work Step by Step

First, we must find the least common denominator (or the denominator that is the least common multiple of the original denominators) of 3 and 9. 3- 3, 6, 9 9- 9 Therefore, the LCM of 3 and 9 is 9. Next, we can rewrite the two fractions as like fractions and add them together. $\frac{2}{3}+\frac{2}{9}=\frac{2\times3}{3\times3}+\frac{2}{9}=\frac{6}{9}+\frac{2}{9}=\frac{6+2}{9}=\frac{8}{9}$
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