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: 49

Answer

$\frac{2}{5}$

Work Step by Step

First, we multiply the numerators by each other and the denominators by each other: $-\frac{7x}{12y}\times-\frac{24y}{35x}=\frac{7x\times24y}{12y\times35x}=\frac{168xy}{420xy}$ Next, we simplify the resultant expression to obtain the answer: $\frac{168xy}{420xy}=\frac{168}{420}=\frac{84}{210}=\frac{42}{105}=\frac{2}{5}$
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