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: 21

Answer

Estimate $ \frac{1}{4}$ Exact $\frac{1}{3}$

Work Step by Step

Estimate $1 \frac{1}{4} \div 3 \frac{3}{4}$ Round to the nearest whole number. $1 \div 4 = \frac{1}{4}$ Compute $1 \frac{1}{4} \div 3 \frac{3}{4}$ Convert mixed numbers to improper fractions $\frac{5}{4} \div \frac{15}{4}$ Multiply by the reciprocal of the divisor $\frac{5}{4} \times \frac{4}{15}$ Reduce fractions by common factors of 4 and 5. $\frac{1}{1} \times \frac{1}{3}$ = $\frac{1}{3}$
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