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: 11

Answer

Estimated answer = 11 Exact answer = $11\frac{1}{2}$

Work Step by Step

$7\frac{1}{3}$ + $4\frac{1}{6}$ Estimate Calculation: $7\frac{1}{3} \approx 7$ $4\frac{1}{6} \approx 4$ Therefore $7\frac{1}{3}$ + $4\frac{1}{6}$ $\approx$ 7 + 4 = 11 Exact Calculation: $7\frac{1}{3}$ + $4\frac{1}{6}$ = $7\frac{2}{6}$ + $4\frac{1}{6}$ (6 is the least common denominator) = $7$ + $4$ + $\frac{2}{6}$ + $\frac{1}{6}$ (adding whole part separately and fractional part separately) = $11$ + $\frac{2 + 1}{6}$ = $11$ + $\frac{3}{6}$ = $11$ + $\frac{1}{2}$ = $11\frac{1}{2}$ The estimate was 11, so the exact answer of $11\frac{1}{2}$ is reasonable.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.