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: 74

Answer

47/72

Work Step by Step

In order to do this problem, recall (1) that addition and subtraction come after multiplication and division in order of operations, (2) that when there is a tie in order of operations, it is done from left to right, and (3) that dividing by a fraction is the same as multiplying by that fraction's reciprocal. $$\frac{3}{4} \times \frac{6}{5} + \frac{6}{12} - \frac{5}{12} \\ = \frac{18}{20} + \frac{6}{12} - \frac{5}{12} $$ Using common denominators, we obtain: $$47/72$$
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