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: 6

Answer

$4\dfrac{1}{24}$

Work Step by Step

Make the fractions similar using their LCD, which is $24$: $=-1\dfrac{3(3)}{8(3)}+\left(5\dfrac{5(2)}{12(2)}\right) \\=-1\dfrac{9}{24}+\left(5\dfrac{10}{24}\right)$ Convert each mixed number to improper fraction: $\\=-\dfrac{24(1)+9}{24}+\dfrac{24(5)+10}{24} \\=-\dfrac{33}{24}+\dfrac{130}{24} \\=\dfrac{-33+130}{24} \\=\dfrac{97}{24} \\=4\dfrac{1}{24}$
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