Elementary Technical Mathematics

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

Chapter 1 - Section 1.8 - Multiplication and Division of Fractions - Exercise - Page 48: 50


19$\frac{27}{32}$ in

Work Step by Step

Let the diameter of the first circle = 12$\frac{5}{8}$ in therefore radius of the first circle = $\frac{1}{2}$ x $\frac{101}{8}$ = $\frac{101}{16}$ in Let the diameter of the last circle = 15$\frac{9}{16}$ in therefore radius of the last circle = $\frac{1}{2}$ x $\frac{249}{16}$ = $\frac{249}{32}$ in Therefore the length of x = $\frac{101}{16}$ in + 5$\frac{3}{4}$ in + $\frac{249}{32}$ in = $\frac{101}{16}\times$ $\frac{2}{2}$ + $\frac{23}{4}\times$ $\frac{8}{8}$ +$\frac{249}{32}$ =$\frac{202}{32}$+$\frac{184}{32}$ + $\frac{249}{32}$ = $\frac{635}{32}$ =19$\frac{27}{32}$ in
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