Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10:
ISBN 13:

Chapters 1-3 - Adding and Subtracting Fractions - Cumulative Review - Page 262: 25

Answer

Estimate: 3 + 5 = 8 Exact: $7\frac{7}{8}$

Work Step by Step

$3\frac{3}{8}+4\frac{1}{2}$ First Lets Find Estimate: $3\frac{3}{8}$ rounds to 3 $4\frac{1}{2}$ rounds to 5 Now, $3\frac{3}{8}+4\frac{1}{2}$ = 3 + 5 = 8 Now find Exact: $3\frac{3}{8}+4\frac{1}{2}$ = $\frac{3\times8+3}{8}+\frac{4\times2+1}{2}$ = $\frac{27}{8}+\frac{9}{2}$ = $\frac{27}{8}+\frac{9\times4}{2\times4}$ (LCM of 2 & 8 are 8) = $\frac{27}{8}+\frac{36}{8}$ = $\frac{27+36}{8}$ = $\frac{63}{8}$ = $7\frac{7}{8}$
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