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: 53

Answer

$\dfrac{20}{13}$

Work Step by Step

RECALL: $\dfrac{a}{b} \div \dfrac{c}{d} = \dfrac{a}{b} \times \dfrac{d}{c}$ Use the rule above to have: $=\dfrac{5x}{9y} \times \dfrac{36y}{13x}$ Cancel out the common factors, and then multiply to obtain: $\require{cancel} \\=\dfrac{5\cancel{x}}{\cancel{9y}} \times \dfrac{\cancel{36y}4}{13\cancel{x}} \\=\dfrac{5}{1} \cdot \dfrac{4}{13} \\=\dfrac{20}{13}$
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