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 228: 29

Answer

Estimated answer = 10 Exact answer = $10\frac{3}{8}$

Work Step by Step

$17$ - $6\frac{5}{8}$ = $16\frac{8}{8}$ - $6\frac{5}{8}$ Estimation: $6\frac{5}{8} \approx 7$ Therefore $17$ - $6\frac{5}{8}$ $\approx$ 17 - 7 = 10 Exact Calculation: $16\frac{8}{8}$ - $6\frac{5}{8}$ = $16$ + $\frac{8}{8}$ - ($6$ + $\frac{5}{8})$ = $16$ + $\frac{8}{8}$ - $6$ - $\frac{5}{8}$ = ($16$ - $6$) + ($\frac{8}{8}$ - $\frac{5}{8}$) (Solving whole parts separately and fractional parts separately) = $10$ + $\frac{8 - 5}{8}$ = $10$ + $\frac{3}{8}$ = $10\frac{3}{8}$ The estimate was 10, so the exact answer of $10\frac{3}{8}$ 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.