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: 54

Answer

$\dfrac{6}{7}$

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: $=\dfrac{3x}{5y} \times \dfrac{10y}{7x}$ Cancel out the common factors, and then multiply to obtain: $\require{cancel} \\=\dfrac{3\cancel{x}}{\cancel{5y}} \times \dfrac{\cancel{10y}2}{7\cancel{x}} \\=\dfrac{3}{1} \times \dfrac{2}{7} \\=\dfrac{6}{7}$
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