Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter R - Section R.2 - Operations on Real Numbers - R.2 Exercises - Page 20: 46



Work Step by Step

$(-\frac{5}{8}+\frac{1}{4})-(-\frac{1}{4})=(-\frac{5}{8}+\frac{1\times2}{4\times2})-(-\frac{1}{4})=(-\frac{5}{8}+\frac{2}{8})-(-\frac{1}{4})=(\frac{2}{8}+(-\frac{5}{8})-(-\frac{1}{4})=(\frac{2+(-5)}{8})-(-\frac{1}{4})=-\frac{3}{8}-(-\frac{1}{4})$ $-\frac{3}{8}-(-\frac{1}{4})=-\frac{3}{8}+\frac{1}{4}=-\frac{3}{8}+\frac{1\times2}{4\times2}=-\frac{3}{8}+\frac{2}{8}=\frac{2}{8}+(-\frac{3}{8})=\frac{2+(-3)}{8}=-\frac{1}{8}$
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