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: 13

Answer

$\frac{13}{14}$

Work Step by Step

The LCM of the original denominators, 5, 7, and 10, is 70. Therefore, we can rewrite all three fractions with a denominator of 70. $\frac{3}{7}+\frac{2}{5}+\frac{1}{10}=\frac{3\times10}{7\times10}+\frac{2\times14}{5\times14}+\frac{1\times7}{10\times7}=\frac{30}{70}+\frac{28}{70}+\frac{7}{70}=\frac{30+28+7}{70}=\frac{65}{70}=\frac{13}{14}$
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