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 40: 55


$\frac{5}{6}$ h

Work Step by Step

Let the mechanic spent $\frac{1}{3}$ h changing the spark plug, $\frac{1}{4}$ h changing the air filter, $\frac{1}{4}$ h changing the oil and oil filter. Therefore total time spent on servicing the car = $\frac{1}{3}$ h + $\frac{1}{4}$ h + $\frac{1}{4}$ h = $ \frac{1}{3} \times$ $\frac{4}{4}$ + $ \frac{1}{4} \times$ $\frac{3}{3}$ + $ \frac{1}{4} \times$ $\frac{3}{3}$ = $\frac{4}{12}$ + $\frac{3}{12}$ + $\frac{3}{12}$ = $\frac{10}{12}$ h =$\frac{5}{6}$ h
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