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: 64

Answer

$\frac{15}{2x}$

Work Step by Step

($\frac{2x}{3y}$) $\times$ ($\frac{5y}{x}$) $\times$ ($\frac{9}{4x}$) = Multiply the numerators by each other, and multiply the denominators by each other $\frac{2x\ \times\ 5y\ \times\ 9}{3y\ \times\ x\ \times\ 4x}$ = Factor the numerator and the denominator $\frac{2\ \times\ x\ \times\ 5\ \times\ y\ \times\ 3\ \times\ 3}{3\ \times\ y\ \times\ x\ \times\ 2\ \times\ 2\ \times\ x}$ = Cancel the common factors between the numerator and the denominator to obtain: $\frac{5\ \times\ 3\ }{2 \times x}$ = $\frac{15}{2x}$
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