Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10: 0134467795
ISBN 13: 978-0-13446-779-5

Chapter 3 - Adding and Subtracting Fractions - 3.3 Adding and Subtracting Unlike Fractions - 3.3 Exercises - Page 219: 10

Answer

$\frac{13}{14}$

Work Step by Step

The LCD of the original denominators, 7 and 14, is 14. Therefore, we can rewrite both fractions with a denominator of 14. $\frac{5}{7}+\frac{3}{14}=\frac{5\times2}{7\times2}+\frac{3}{14}=\frac{10}{14}+\frac{3}{14}=\frac{10+3}{14}=\frac{13}{14}$
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