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: 86

Answer

$\dfrac{5}{6}$

Work Step by Step

The fractions are not similar since they have different fractions. Make the fractions similar using their LCD of $6$. $\dfrac{3}{2} - \dfrac{2}{3} \\=\dfrac{3\color{blue}{(3)}}{2\color{blue}{(3)}}-\dfrac{2\color{blue}{(2)}}{3\color{blue}{(2)}} \\=\dfrac{9}{6}-\dfrac{4}{6}$ Now that the fractions are similar, subtract the numerators and copy the denominator to obtain: $=\dfrac{9-4}{6} \\=\dfrac{5}{6}$
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