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 179: 46

Answer

Estimate 57 houses Exact 58 houses

Work Step by Step

$1827 \div 31 \frac{1}{2}$ Estimate Round fractions to the nearest whole number $1827 \div 32 \approx 57$ Exact Convert mixed numbers to improper fractions $\frac{1827}{1} \div \frac{63}{2}$ Multiply by the reciprocal of the divisor $\frac{1827}{1} \times \frac{2}{63}$ Reduce fractions by common factor of 9 and multiply $\frac{203}{1} \times \frac{2}{7}$ = $\frac{406}{7}$ Convert improper fractions to mixed numbers $\frac{406}{7}$ = 58
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