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: 11

Answer

$1\dfrac{1}{16}$

Work Step by Step

Convert the mixed number to improper fraction: $=\dfrac{8(1)+3}{8}-\left(+\dfrac{5}{16}\right) \\=\dfrac{11}{8}-\dfrac{5}{16}$ Make the fractions similar using their LCD, which is $16$: $\\=\dfrac{11(2)}{8(2)}-\left(\dfrac{5}{16}\right) \\=\dfrac{22}{16}-\left(\dfrac{5}{16}\right) \\=\dfrac{22-5}{16} \\=\dfrac{17}{16} \\=1\dfrac{1}{16}$
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