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: 52

Answer

$\dfrac{3y}{7x}$

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: $=\dfrac{6}{x} \times \dfrac{y}{14}$ Cancel out the common factors, and then multiply to obtain: $\require{cancel} \\=\dfrac{\cancel{6}3}{x} \times \dfrac{y}{\cancel{14}7} \\=\dfrac{3y}{7x}$
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