Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 1 - Section 1.4 - Properties of Real Numbers and Algebraic Expressions - Exercise Set - Page 40: 91



Work Step by Step

We are given the expression $\frac{3}{4}b-\frac{1}{2}+\frac{1}{6}b-\frac{2}{3}$. We can simplify by grouping like terms and then finding a common denominator for each group of like terms. $(\frac{3}{4}b\times\frac{3}{3}+\frac{1}{6}b\times\frac{2}{2})-(\frac{1}{2}\times\frac{3}{3}+\frac{2}{3}\times\frac{2}{2})$ $=(\frac{9}{12}b+\frac{2}{12}b)-(\frac{3}{6}+\frac{4}{6})=\frac{11}{12}b-(\frac{7}{6})=\frac{11}{12}b-\frac{7}{6}$
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