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 176: 22

Answer

Estimate $\frac{1}{2}$ Exact $\frac{1}{2}$

Work Step by Step

$1 \frac{1}{8} \div 2 \frac{1}{4}$ Estimate Round to nearest whole number $1 \div 2 = \frac{1}{2}$ Exact Convert mixed numbers to improper fractions $1 \frac{1}{8} \div 2 \frac{1}{4}$ = $\frac{9}{8} \div \frac{9}{4}$ Multiply by the inverse of the divisor $\frac{9}{8} \times \frac{4}{9}$ Reduce fractions by the common factors of 9 and 4 $\frac{1}{2} \times \frac{1}{1}$ = $\frac{1}{2}$
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