Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 2 - Section 2.4 - Signed Fractions - Exercises - Page 118: 15

Answer

$-1\dfrac{3}{4}$

Work Step by Step

Make the fractions similar using their LCD of $12$: $=-\dfrac{2(4)}{3(4)}+\left(-\dfrac{5(2)}{6(2)}\right)-\dfrac{1(3)}{4(3)} \\=-\dfrac{8}{12} + \left(-\dfrac{10}{12}\right) - \dfrac{3}{12} \\=\dfrac{-8-10-3}{12} \\=-\dfrac{21}{12} \\=-1\dfrac{9}{12} \\=-1\dfrac{3}{4}$
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