Prealgebra (7th Edition)

Published by Pearson
ISBN 10: 0321955048
ISBN 13: 978-0-32195-504-3

Chapter 4 - Section 4.1 - Introduction to Fractions and Mixed Numbers - Exercise Set - Page 225: 106



Work Step by Step

To round a mixed number to the nearest whole number we must determine whether the fraction is less than $\frac{1}{2}$. If the fraction is not less than one half, the whole number is rounded up by adding one to the whole number. The fraction is dropped. $\frac{1}{2}=\frac{6}{12}$ $\frac{11}{12}\geq\frac{6}{12}$, so $\frac{11}{12}\geq\frac{1}{2}$ Since $\frac{11}{12}$ is not less than $\frac{1}{2}$, $5\frac{11}{12}$ rounds up to 6.
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