Basic College Mathematics (9th Edition)

Published by Pearson
ISBN 10: 0321825535
ISBN 13: 978-0-32182-553-7

Chapter 9 - Basic Algebra - 9.2 Adding and Subtracting Signed Numbers - 9.2 Exercises: 67



Work Step by Step

In order to subtract by changing subtraction to addition, we can follow the steps below. Step 1. The first number stays the same. Step 2. Change the subtraction sign to an addition sign. Step 3. Change the second number to its opposite. Step 4. Evaluate. Therefore, $-\frac{8}{15}-\frac{3}{10}=-\frac{8}{15}+(-\frac{3}{10})$. Before evaluating further, we must make sure both fractions have the same denominator, which is 30. $-\frac{8\times2}{15\times2}+(-\frac{3\times3}{10\times3})=-\frac{16}{30}+(-\frac{9}{30})=-\frac{25}{30}=-\frac{5}{6}$
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