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: 65

Answer

$-4$

Work Step by Step

RECALL: $\frac{a}{b}\div\frac{c}{d} =\frac{a}{b}\times\frac{d}{c} $ We use the rule above to obtan: $(-\frac{2}{3})\times(\frac{3}{4})\times\frac{8}{1}$ Then, we multiply the numerators by each other and multiply the denominators by each other: $-\frac{2\times3\times8}{3\times4\times1}$ Now, we cancel out the common factors in the numerator and the denominator to simplify the expression: $-\frac{2\times3\times8}{3\times4\times1}=-\frac{2\times1\times8}{1\times4\times1}=-\frac{2\times1\times2}{1\times1\times1}=-4$
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