Elementary Technical Mathematics

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

Chapter 1 - Section 1.7 - Addition and Subtraction of Fractions - Exercise: 59

Answer

8$\frac{1}{4}$ in.

Work Step by Step

Let the total distance is 10 in. To find the distance between points A and B we need to subtract $\frac{3}{4}$ in and $\frac{1}{8}$ in from left side and in the same way $\frac{3}{4}$ in and $\frac{1}{8}$ in from right side. Therefore distance between A and B = 10 in - $\frac{3}{4}$ in - $\frac{1}{8}$ - $\frac{3}{4}$ in - $\frac{1}{8}$ = 10 $\times$ $\frac{8}{8}$ - $ \frac{3}{4} \times$ $\frac{2}{2}$ - $\frac{1}{8}$ - $ \frac{3}{4} \times$ $\frac{2}{2}$ - $\frac{1}{8}$ =$\frac{80}{8}$ - $\frac{6}{8}$ - $\frac{1}{8}$ - $\frac{6}{8}$ - $\frac{1}{8}$ =$\frac{66}{8}$ =$\frac{33}{4}$ =8$\frac{1}{4}$ in.
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