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 - Page 43: 87

Answer

$\frac{1}{2}$ acre

Work Step by Step

Let us consider that a homeowner has a lot that measures 1$\frac{1}{2}$ acres, of that area $\frac{1}{2}$ acres is wooded , $\frac{1}{6}$ acres is covered by house , $\frac{1}{3}$ acres is covered by driveway Area covered by lawn = 1$\frac{1}{2}$ -$\frac{1}{2}$ -$\frac{1}{6}$ - $\frac{1}{3}$ =$\frac{3}{2}$ -$\frac{1}{2}$ -$\frac{1}{6}$ - $\frac{1}{3}$ = $\frac{2}{2}\times$ $\frac{3}{3}$ -$\frac{1}{6}$ - $\frac{1}{3}\times$ $\frac{2}{2}$ =$\frac{6}{6}$ -$\frac{1}{6}$ -$\frac{2}{6}$ =$\frac{3}{6}$ =$\frac{1}{2}$ acre
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