Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10: 0134467795
ISBN 13: 978-0-13446-779-5

Chapter 3 - Adding and Subtracting Fractions - 3.3 Adding and Subtracting Unlike Fractions - 3.3 Exercises - Page 222: 52


Flat-out lie is the response given least often. 240 respondents answered flat-out lie. $\frac{5}{12}$ responded flat-out lie or total fabrication.

Work Step by Step

Find the smallest fraction by writing each fraction using the same denominator. The least common multiple of the denominators is 60. $\frac{1}{3}=\frac{1\times20}{3\times20}=\frac{20}{60}$ $\frac{1}{4}=\frac{1\times15}{4\times15}=\frac{15}{60}$ $\frac{1}{5}=\frac{1\times12}{5\times12}=\frac{12}{60}$ $\frac{13}{60}$ 12 is the smallest numerator, so $\frac{12}{60}$ or $\frac{1}{5}$ is the smallest fraction making flat-out lie, the section marked as $\frac{1}{5}$, the response given least often. Find $\frac{1}{5}$ of the total respondents to find how many said flat-out-lie. $\frac{1}{5} \times 1200$ = $\frac{1200}{5}$ = 240 Add $\frac{12}{60} + \frac{13}{60}$ to find the fraction who said flat-out lie or total fabrication. $\frac{12}{60} + \frac{13}{60}$ = $\frac{25}{60}$ = $\frac{25 \div 5}{60 \div 5}$ = $\frac{5}{12}$
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