Basic College Mathematics (9th Edition)

Published by Pearson
ISBN 10: 0321825535
ISBN 13: 978-0-32182-553-7

Chapter 2 - Multiplying and Dividing Fractions - 2.8 Multiplying and Dividing Mixed Numbers - 2.8 Exercises - Page 176: 26

Answer

Estimate $2 \frac{1}{2}$ Exact $2 \frac{2}{3}$

Work Step by Step

$5 \div 1 \frac{7}{8}$ Estimate Round to nearest whole number $5 \div 2$ = $2 \frac{1}{2}$ Exact Convert mixed numbers to improper fractions $\frac{5}{1} \div \frac{15}{8}$ Multiply by the inverse of the reciprocal $\frac{5}{1} \times \frac{8}{15}$ Reduce by common factor of 5 $\frac{1}{1} \times \frac{8}{3}$ = $\frac{8}{3}$ Convert improper fraction to mixed number $2 \frac{2}{3}$
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