Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 2 - Real Numbers - 2.2 - Addition and Subtraction of Rational Numbers - Problem Set 2.2: 65

Answer

$\frac{1}{4}$

Work Step by Step

To simplify this expression, we first need to find the common denominator (the LCM) of every denominator, which is $24$. Therefore, we obtain: $\frac{1}{4}-\frac{3}{8}+\frac{5}{12}-\frac{1}{24}$ =$\frac{1(6)-3(3)+5(2)-1(1)}{24}$ =$\frac{6-9+10-1}{24}$ =$\frac{-3+9}{24}$ =$\frac{6}{24}$ =$\frac{1}{4}$
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