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: 14

Answer

$\frac{17}{20}$

Work Step by Step

The LCM of the original denominators, 5, 10, and 20, is 20. Therefore, we can rewrite all three fractions with a denominator of 20. $\frac{3}{10}+\frac{2}{5}+\frac{3}{20}=\frac{3\times2}{10\times2}+\frac{2\times4}{5\times4}+\frac{3}{20}=\frac{8}{20}+\frac{6}{20}+\frac{3}{20}=\frac{8+6+3}{20}=\frac{17}{20}$
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