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 177: 34

Answer

(a) Estimate 4 cups Exact $2 \frac{5}{8}$ cups (b) Estimate 2 cups Exact $1 \frac{1}{8}$ cups (c) Estimate 0 cups Exact $ \frac{1}{2}$ cup

Work Step by Step

(a) $1 \frac{3}{4} \times 1 \frac{1}{2}$ cups Estimate Round fractions to the nearest whole number $2 \times 2 = 4$ cups Exact Convert mixed numbers to improper fractions and multiply $\frac{7}{4} \times \frac{3}{2}$ = $\frac{21}{8}$ Convert improper fractions to mixed numbers $\frac{21}{8}$ = $2 \frac{5}{8}$ cups (b) $\frac{3}{4} \times 1 \frac{1}{2}$ cups Estimate Round fractions to the nearest whole number $1 \times 2 = 2$ cups Exact Convert mixed numbers to improper fractions and multiply $\frac{3}{4} \times \frac{3}{2}$ = $\frac{9}{8}$ Convert improper fractions to mixed numbers $\frac{9}{8}$ = $1 \frac{1}{8}$ cups (c) $\frac{1}{3} \times 1 \frac{1}{2}$ cups Estimate Round fractions to the nearest whole number $0 \times 2 = 0$ cups Exact Convert mixed numbers to improper fractions and multiply $\frac{1}{3} \times \frac{3}{2}$ = $\frac{3}{6}$ Reduce the fraction $\frac{3}{6}$ = $\frac{1}{2}$ cup
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