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 221: 40


$\displaystyle \frac{3}{16}$ of herd left to vaccinate

Work Step by Step

To find the fraction left to vaccinate, we subtract the amount vaccinated ($3/16$ and $1/4$) from the amount need to be vaccinated ($5/8$): $\displaystyle \frac{5}{8}-\frac{3}{16}-\frac{1}{4}=$ We find the Least Common Denominator, which is 16: $=\displaystyle \frac{5*2}{8*2}-\frac{3}{16}-\frac{1*4}{4*4}$ $=\displaystyle \frac{5*2}{16}-\frac{3}{16}-\frac{1*4}{16}$ $=\displaystyle \frac{10}{16}-\frac{3}{16}-\frac{4}{16}$ $=\displaystyle \frac{10-3-4}{16}$ $=\displaystyle \frac{3}{16}$ of herd left to vaccinate
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