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: 35

Answer

$-\dfrac{3}{10}$

Work Step by Step

RECALL: $\dfrac{a}{b} \div \dfrac{c}{d} = \dfrac{a}{b} \cdot \dfrac{d}{c}$ Use the rule above to obtain: $\\=\dfrac{1}{4} \cdot \dfrac{6}{-5}$ Factor then cancel the common factors to obtain: $\require{cancel} \\=\dfrac{1}{2 \cdot 2} \cdot \dfrac{2 \cdot 3}{-5} \\=\dfrac{1}{\cancel{2} \cdot 2} \cdot \dfrac{\cancel{2} \cdot 3}{-5} \\=\dfrac{1 \cdot 3}{2 \cdot (-5)} \\=-\dfrac{3}{10}$
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