## Elementary Algebra

Published by Cengage Learning

# Chapter 2 - Real Numbers - 2.1 - Rational Numbers: Multiplication and Division - Problem Set 2.1 - Page 48: 72

#### Answer

$\frac{1}{3}$

#### Work Step by Step

(-$\frac{7}{8}$) $\times$ ($\frac{4}{7}$) $\div$ (-$\frac{3}{2}$) = RECALL: $\frac{a}{b}$ $\div$ $\frac{c}{d}$ = $\frac{a}{b}$ $\times$ $\frac{d}{c}$ Use the rule above to obtain: (-$\frac{7}{8}$) $\times$ ($\frac{4}{7}$) $\times$ (-$\frac{2}{3}$) = Multiply the numerators by each other, and multiply the denominators by each other: $\frac{(-7)\ \times\ 4\ \times\ (-2)}{8\ \times\ 7\ \times\ 3}$ = Factor the numerator and the denominator: $\frac{(-1)\ \times\ 7\ \times\ 2\ \times\ 2\ \times\ (-1)\ \times\ 2}{2\ \times\ 2\ \times\ 2\ \times\ 7\ \times\ 3}$ = Cancel the common factors in the numerator and the denominator to obtain: $\frac{(-1)\ \times\ (-1)}{3}$ = $\frac{1}{3}$

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.