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 287: 149


The quotient of two rational numbers of the form \[\frac{a}{b}\]and \[\frac{c}{d}\] can be written as a product of one rational number with the reciprocal of another. This can be shown as follows: \[\frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}\] The quotient of the two rational numbers thus gives, \[\begin{align} & \frac{5}{6}\div \frac{1}{2}=\frac{5}{6}\times \frac{2}{1} \\ & =\frac{5}{3} \end{align}\]
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