Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10:
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Chapter 3 - Adding and Subtracting Fractions - 3.4 Adding and Subtracting Mixed Numbers - 3.4 Exercises - Page 227: 15

Answer

Estimated answer = 44 Exact answer = $43\frac{2}{3}$

Work Step by Step

$24\frac{5}{6}$ + $18\frac{5}{6}$ Estimation: $24\frac{5}{6}\approx 25$ $18\frac{5}{6} \approx 19$ Therefore $24\frac{5}{6}$ + $18\frac{5}{6}$ $\approx$ 25 + 19 = 44 Exact Calculation: $24\frac{5}{6}$ + $18\frac{5}{6}$ = $24$ + $18$ + $\frac{5}{6}$ + $\frac{5}{6}$ (taking whole part separately and fractional part separately) = $42$ + $\frac{5 + 5}{6}$ = $42$ + $\frac{10}{6}$ = $42$ + $\frac{6 + 4}{6}$ = $42$ + $\frac{6}{6} + \frac{4}{6} $ = 42 + 1 + $\frac{2}{3}$ = $43\frac{2}{3}$ The estimate was 44, so the exact answer of $43\frac{2}{3}$ is reasonable.
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