Elementary Algebra

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

Chapter 2 - Real Numbers - Chapter 2 Test: 9

Answer

$ = -\frac{5}{24}$

Work Step by Step

1) We need to find a common denominator of $24$, so we multiply the first fraction by $8/8$, the second fraction by $3/3$, and the third fraction by $4/4$. $= -\frac{2}{3} - \frac{1}{2}(\frac{3}{4}) + \frac{5}{6}$ $= -\frac{2}{3} - \frac{3}{8} + \frac{5}{6}$ $= -\frac{2(8)}{24} - \frac{3(3)}{24} + \frac{5(4)}{24}$ $= -\frac{16}{24} - \frac{9}{24} + \frac{20}{24}$ $= -\frac{25}{24} + \frac{20}{24}$ $ = -\frac{5}{24}$
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