## Basic College Mathematics (10th Edition)

Published by Pearson

# Chapter 2 - Multiplying and Dividing Fractions - 2.8 Multiplying and Dividing Mixed Numbers - 2.8 Exercises - Page 178: 44

#### Answer

Estimate 116 units Exact 108 units

#### Work Step by Step

$6750 \div 62 \frac{1}{2}$ is the number of apartment units that can be carpeted. Estimate: Use front end rounding then. $7000 \div 60 =116.\overline6$ Drop the fractional part of the answer since only whole apartment units would be carpeted. Exact Convert mixed numbers to improper fractions. $\frac{6750}{1} \div \frac{125}{2}$ Multiply by the reciprocal of the divisor. $\frac{6750}{1} \times \frac{2}{125}$ Eliminate common factors and multiply. $\frac{/\!\!\!\!125\times54}{1} \times \frac{2}{/\!\!\!\!125}$ = $\frac{108}{1}$

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