Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 2 - Real Numbers - 2.3 - Real Numbers and Algebraic Expressions - Problem Set 2.3: 38

Answer

-4.9

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: $-2.94\div0.6$ =$-\frac{294}{100}\div\frac{6}{10}$ =$-\frac{294}{100}\times\frac{10}{6}$ =$-\frac{294}{10}\times\frac{1}{6}$ =$-\frac{147}{10}\times\frac{1}{3}$ =$-\frac{49}{10}\times\frac{1}{1}$ =$-4.9$
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