Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10:
ISBN 13:

Chapter 3 - Adding and Subtracting Fractions - Test - Page 259: 12

Answer

Estimate: $8+5=13$ Exact: $12\frac{1}{2}$

Work Step by Step

$7\frac{2}{3}+4\frac{5}{6}$ Lets first Find Estimate of fraction: $7\frac{2}{3}$ = 8 and $4\frac{5}{6}$=5 So $7\frac{2}{3}+4\frac{5}{6}$ = 8 + 5 = 13 Now find Exact: $7\frac{2}{3}+4\frac{5}{6}$ = $\frac{7\times3+2}{3}+\frac{4\times6+5}{6}$ = $\frac{23}{3}+\frac{29}{6}$ = $\frac{23\times2}{3\times2}+\frac{29}{6}$ (Least common multiple of 3 & 6 is 6) = $\frac{46}{6}+\frac{29}{6}$ = $\frac{46+29}{6}$ (Addition of fraction with same denominator) = $\frac{75}{6}$ = $12\frac{3}{6}$ = $12\frac{1}{2}$
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