Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10:
ISBN 13:

Chapter 3 - Adding and Subtracting Fractions - 3.4 Adding and Subtracting Mixed Numbers - 3.4 Exercises - Page 227: 17

Answer

Estimated answer = 53 Exact answer = $52\frac{1}{10}$

Work Step by Step

$33\frac{3}{5}$ + $18\frac{1}{2}$ Estimation: $33\frac{3}{5}\approx 34$ $18\frac{1}{2} \approx 19$ Therefore $33\frac{3}{5}$ + $18\frac{1}{2}$ $\approx$ 34 + 19 = 53 Exact Calculation: $33\frac{3}{5}$ + $18\frac{1}{2}$ = $33\frac{3\times2}{5\times2}$ + $18\frac{1\times5}{2\times5}$ (10 is the least common denominator) = $33\frac{6}{10}$ + $18\frac{5}{10}$ = $33$ + $18$ + $\frac{6}{10}$ + $\frac{5}{10}$ (Adding whole part separately and fractional part separately) = $51$ + $\frac{6 + 5}{10}$ = $51$ + $\frac{11}{10}$ = $51$ + $\frac{10 + 1}{10}$ = $51$ + $\frac{10}{10} + \frac{1}{10} $ = 51 + 1 + $\frac{1}{10}$ = $52\frac{1}{10}$ The estimate was 53, so the exact answer of $52\frac{1}{10}$ is reasonable.
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