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: 3

Answer

$\frac{7}{8}$

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 4 and 8. 4- 4, 8 8- 8 Therefore, the LCM of 4 and 8 is 8. Next, we can rewrite the two fractions as like fractions and add them together. $\frac{3}{4}+\frac{1}{8}=\frac{3\times2}{4\times2}+\frac{1}{8}=\frac{6}{8}+\frac{1}{8}=\frac{6+1}{8}=\frac{7}{8}$
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