Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10:
ISBN 13:

Chapters 1-4 - Decimals - Test - Page 328: 29

Answer

Estimate: 2 + 4 = 6 yds. Exact: $6\frac{5}{24}$ yds.

Work Step by Step

$2\frac{1}{3}$ yds of cotton fabric $3\frac{7}{8}$ yds of wool fabric Total fabric = cotton fabric + wool fabric = $2\frac{1}{3}$+$3\frac{7}{8}$ Estimate: $2\frac{1}{3}$ rounds to 2 $3\frac{7}{8}$ rounds to 4 2 + 4 = 6 yds of fabric Exact: $2\frac{1}{3}$+$3\frac{7}{8}$ = $\frac{2\times3+1}{3}$+$\frac{3\times8+7}{8}$ = $\frac{7}{3}$+$\frac{31}{8}$ = $\frac{7\times8}{3\times8}$+$\frac{31\times3}{8\times3}$ (LCM of 3 & 8 is 24) = $\frac{56}{24}$+$\frac{93}{24}$ = $\frac{56+93}{24}$ = $\frac{149}{24}$ = $6\frac{5}{24}$ yds.
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