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 - Page 48: 70


$ -1$

Work Step by Step

(-$\frac{4}{3}$) $\div$ ($\frac{4}{5}$) $\times$ ($\frac{3}{5}$) = RECALL: $\frac{a}{b}$ $\div$ $\frac{c}{d}$ = $\frac{a}{b}$ $\times$ $\frac{d}{c}$ Use the rule above to obtain: (-$\frac{4}{3}$) $\times$ ($\frac{5}{4}$) $\times$ ($\frac{3}{5}$) = Multiply the numerators by each other, and multiply the denominators by each other: $\frac{(-4)\ \times\ 5\ \times\ 3}{3\ \times\ 4\ \times\ 5}$ = Cancel the common factors in the numerator and the denominator to obtain: $\frac{(-4)\ \times\ 5\ \times\ 3}{3\ \times\ 4\ \times\ 5}= \frac{-1}{1}=-1$
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