Elementary Algebra

Published by Cengage Learning

Chapter 2 - Real Numbers - 2.3 - Real Numbers and Algebraic Expressions - Problem Set 2.3: 37

-7.4

Work Step by Step

Recall the following rule: $\frac{a}{b} \div \frac{c}{d}=\frac{a}{b} \times \frac{d}{c}$. We convert the decimal into a fraction for the ease of simplification: $5.92\div-0.8$ =$\frac{592}{100}\div-\frac{8}{10}$ =$\frac{592}{100}\times-\frac{10}{8}$ =$\frac{592}{10}\times-\frac{1}{8}$ =$\frac{296}{10}\times-\frac{1}{4}$ =$\frac{74}{10}\times-\frac{1}{1}$ =$-7.4$

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