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: 65

Answer

$\dfrac{10}{3}$

Work Step by Step

$\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \cdot \frac{d}{c}$ Use the rule above: $\frac{5}{4} \cdot \frac{8}{3}$ Cancel the common factors: $\require{cancel} \\=\dfrac{5}{\cancel{4}} \cdot \dfrac{\cancel{8}2}{3}$ Multiply the numerators together and the denominators together: $=\dfrac{5(2)}{1(3)} \\=\dfrac{10}{3}$
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