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: 73

Answer

-1/30

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. $$= \frac{4}{5} - \frac{10}{12} - \frac{5}{6} \times \frac{14}{8} + \frac{10}{21} \\ = \frac{4}{5} - \frac{10}{12} - \frac{70}{48} + \frac{10}{21}$$ Using common denominators, we obtain: $$1/30$$
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