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: 7

Answer

$\dfrac{13}{18}$

Work Step by Step

Convert each mixed number to improper fraction: $\\=-\dfrac{3(3)+2}{3}+\left(-\dfrac{4}{9}\right)+\dfrac{6(4)+5}{6} \\=-\dfrac{11}{3}+\left(-\dfrac{4}{9}\right)+\dfrac{29}{6}$ Make the fractions similar using their LCD, which is $18$: $\\=-\dfrac{11(6)}{3(6)}+\left(-\dfrac{4(2)}{9(2)}\right)+\dfrac{29(3)}{6(3)} \\=-\dfrac{66}{18}+\left(-\dfrac{8}{18}\right)+\dfrac{87}{18} \\=\dfrac{-66-8+87}{18} \\=\dfrac{13}{18}$
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