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: 58

Answer

$\dfrac{2}{3}$

Work Step by Step

RECALL: $\dfrac{a}{b} \div \dfrac{c}{d} = \dfrac{a}{b} \times \dfrac{d}{c}$ Use the rule above to obtain: $=\dfrac{-34}{n} \times \dfrac{n}{-51} \\=\dfrac{-17(2)}{n} \times \dfrac{n}{-17(3)}$ Cancel common factors then multiply to have: $\require{cancel} \\=\dfrac{\cancel{-17}(2)}{\cancel{n}} \times \dfrac{\cancel{n}}{\cancel{-17}(3)} \\=\dfrac{2}{3}$
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