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: 67

Answer

$\frac{36}{49}$

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: $(\frac{5}{7})\times(-\frac{6}{5})\times(-\frac{6}{7})$ Then, we multiply the numerators by each other and multiply the denominators by each other: $\frac{5\times-6\times-6}{7\times5\times7}$ Now, we cancel out the common factors in the numerator and the denominator to simplify the expression: $\frac{5\times-6\times-6}{7\times5\times7}=\frac{1\times-6\times-6}{7\times1\times7}=\frac{36}{49}$
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