## Elementary Technical Mathematics

Published by Brooks Cole

# Chapter 1 - Section 1.7 - Addition and Subtraction of Fractions - Exercise - Page 42: 79

#### Answer

a) 1 $\frac{25}{32}$ in b)1 $\frac{19}{32}$ in

#### Work Step by Step

Let the thickness of the plate = 1 $\frac{7}{8}$ in The planer takes a cut of $\frac{3}{32}$ in a) Thickness of the plate after one cut = 1 $\frac{7}{8}$ in - $\frac{3}{32}$ in = $\frac{15}{8}$ in - $\frac{3}{32}$ in =$\frac{15}{8}\times$ $\frac{4}{4}$ - $\frac{3}{32}$ = $\frac{60}{32}$ - $\frac{3}{32}$ =$\frac{57}{32}$ =1 $\frac{25}{32}$ in b)Thickness of the plate after three cut =1 $\frac{7}{8}$ in - $\frac{3}{32}$ in- $\frac{3}{32}$ in- $\frac{3}{32}$ in =$\frac{15}{8}$ - $\frac{9}{32}$ =$\frac{15}{8}\times$ $\frac{4}{4}$ - $\frac{9}{32}$ =$\frac{60}{32}$ - $\frac{9}{32}$ = $\frac{51}{32}$ =1 $\frac{19}{32}$ in

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