Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 2 - Real Numbers - 2.1 - Rational Numbers: Multiplication and Division - Problem Set 2.1: 36

Answer

$-1$

Work Step by Step

RECALL: $\dfrac{a}{b} \div \dfrac{c}{d} = \dfrac{a}{b} \cdot \dfrac{d}{c}$ Use the rule above to obtain: $\\=\dfrac{7}{8} \cdot \dfrac{-16}{14}$ Factor, and then cancel the common factors to obtain: $\require{cancel} \\=\dfrac{7}{8} \cdot \dfrac{-2 \cdot 8}{7 \cdot 2} \\=\dfrac{\cancel{7}}{\cancel{8}} \cdot \dfrac{-\cancel{2} \cdot \cancel{8}}{\cancel{7} \cdot \cancel{2}} \\=-1$
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