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: 84

Answer

$\dfrac{37}{45}$

Work Step by Step

The fractions are not similar since they have different fractions. Make the fractions similar using their LCD of $45$. $\dfrac{13}{15} - \dfrac{2}{45} \\=\dfrac{13\color{blue}{(3)}}{15\color{blue}{(3)}}-\dfrac{2}{45} \\=\dfrac{39}{45}-\dfrac{2}{45}$ Now that the fractions are similar, subtract the numerators and copy the denominator to obtain: $=\dfrac{39-2}{45} \\=\dfrac{37}{45}$
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