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: 5



Work Step by Step

Make the fractions similar using their LCD, which is $20$: $=-5\dfrac{3(5)}{4(5)}+\left(-6\dfrac{2(4)}{5(4)}\right) \\=-5\dfrac{15}{20}+\left(-6\dfrac{8}{20}\right) \\=-\left(5\dfrac{15}{20}+6\dfrac{8}{20}\right) \\=-\left((5+6)+(\frac{15}{20}+\frac{8}{20})\right) \\=-\left(11+\frac{15+8}{20}\right) \\=-\left(11+\frac{23}{20}\right) \\=-\left(11+1\frac{3}{20}\right) \\=-12\dfrac{3}{20}$
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