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: 45

Answer

$-\frac{5}{6y}$

Work Step by Step

First, we multiply the numerators by each other and the denominators by each other: $\frac{10x}{-9y}\times\frac{15}{20x}=-\frac{10x\times15}{9y\times20x}=-\frac{150x}{180xy}$ Next, we simplify the resultant expression to obtain the answer: $-\frac{150x}{180xy}=-\frac{150}{180y}=-\frac{15}{18y}=-\frac{5}{6y}$
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