Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10:
ISBN 13:

Chapter 2 - Multiplying and Dividing Fractions - 2.8 Multiplying and Dividing Mixed Numbers - 2.8 Exercises - Page 178: 37

Answer

Estimate $27 \frac{5}{12}$ units Exact 28 units

Work Step by Step

$329 \div 11 \frac{3}{4}$ Estimate Round fractions to the nearest whole number. $329 \div 12$ = $27 \frac{5}{12}$ Exact Convert mixed numbers to an improper fractions. $329 \div 11 \frac{3}{4}$ = $\frac {329}{1} \div \frac{47}{4}$ Multiply by the reciprocal of the divisor. $\frac{329}{1} \times \frac{4}{47}$ = $\frac{1316}{47}$ Convert the improper fraction to a mixed number. $\frac{1316}{47}$ = 28
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