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: 148

Answer

Two rational numbers of the form \[\frac{a}{b}\]and \[\frac{c}{d}\] can be multiplied by dividing the product of numerators from the product of denominators. This can be shown as follows: \[\frac{a}{b}\times \frac{c}{d}=\frac{a\cdot c}{b\cdot d}\] The product of the two rational numbers thus gives: \[\frac{5}{6}\cdot \frac{1}{2}=\frac{5}{12}\]
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