## Elementary Algebra

Published by Cengage Learning

# Chapter 2 - Real Numbers - 2.1 - Rational Numbers: Multiplication and Division - Problem Set 2.1: 66

#### Answer

$\frac{18}{5}$

#### 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: $(\frac{3}{4})\times(\frac{4}{5})\times\frac{6}{1}$ Then, we multiply the numerators by each other and multiply the denominators by each other: $\frac{3\times4\times6}{4\times5\times1}$ Now, we cancel out the common factors in the numerator and the denominator to simplify the expression: $\frac{3\times4\times6}{4\times5\times1}=\frac{3\times1\times6}{1\times5\times1}=\frac{18}{5}$

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