Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 5 - Number Theory and the Real Number System - Chapter Summary, Review, and Test - Review Exercises - Page 335: 56



Work Step by Step

Simplify the expressions inside the parentheses using their LCD of $6$ to obtain: \begin{align*} \require{cancel} &=\frac{3}{8}\left(\frac{1\cdot3}{2\cdot 3} + \frac{1\cdot 2}{3\cdot 2}\right)\\\\ &=\frac{3}{8} \left(\frac{3}{6} + \frac{2}{6}\right)\\\\ &=\frac{3}{8} \left(\frac{5}{6}\right)\\\\ &=\frac{\cancel{3}}{8} \left(\frac{5}{\cancel{6}2}\right)\\\\ &=\frac{5}{16} \end{align*}
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