Basic College Mathematics (10th Edition)

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

Chapter 3 - Adding and Subtracting Fractions - Review Exercises - Page 255: 32


$Estimate: 38$ $Exact: \displaystyle 38\frac{1}{9}$

Work Step by Step

We need to add the following fractions: $\displaystyle 22\frac{2}{3}+15\frac{4}{9}$ First we estimate the answer by rounding: $\displaystyle 22\frac{2}{3}+15\frac{4}{9}$ $\approx 23+15$ $\approx 38$ Next, we obtain the exact answer: $\displaystyle 22\frac{2}{3}+15\frac{4}{9}$ $=\displaystyle 22\frac{6}{9}+15\frac{4}{9}$ $=\displaystyle 37\frac{10}{9}$ $=\displaystyle 38\frac{1}{9}$ The exact result is fairly close to the estimate.
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