Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 5 - Number Theory and the Real Number System - 5.3 The Rational Numbers - Exercise Set 5.3 - Page 285: 68



Work Step by Step

Use the rule $\dfrac{a}{b} \div \dfrac{c}{d} =\dfrac{a}{b} \cdot \dfrac{d}{c}$ to obtain: $=-\dfrac{13}{20} \cdot \dfrac{5}{4}$ Cancel common factors to obtain: $\require{cancel} \\=-\dfrac{13}{\cancel{20}4} \cdot \dfrac{\cancel{5}}{4}$ Multiply the numerators together and the denominators together to obtain: $=-\dfrac{13(1)}{4(4)} \\=-\dfrac{13}{16}$
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