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: 44

Answer

$\dfrac{7z}{12x}$

Work Step by Step

First, factor each expression to obtain: $=\dfrac{5y}{2(4x)} \cdot \dfrac{2(7z)}{5y(3)}$ Cancel the common factors to obtain: $\require{cancel} =\dfrac{\cancel{5y}}{\cancel{2}(4x)} \cdot \dfrac{\cancel{2}(7z)}{\cancel{5y}(3)} \\=\dfrac{1}{4x} \cdot \dfrac{7z}{3}$ Multiply the numerators together and the denominators together to obtain: $=\dfrac{7z}{12x}$
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