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: 68

Answer

$\frac{15}{64}$

Work Step by Step

(-$\frac{3}{8}$) $\div$ (-$\frac{4}{5}$) $\times$ ($\frac{1}{2}$) = RECALL: $\frac{a}{b}$ $\div$ $\frac{c}{d}$ = $\frac{a}{b}$ $\times$ $\frac{d}{c}$ Use the rule above to obtan: (-$\frac{3}{8}$) $\times$ (-$\frac{5}{4}$) $\times$ ($\frac{1}{2}$) = Multiply the numerators by each other, and multiply the denominators by each other: $\frac{(-3)\ \times\ (-5)\ \times\ 1}{8\ \times\ 4\ \times\ 2}$ = $\frac{15}{64}$
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