Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10: 0134467795
ISBN 13: 978-0-13446-779-5

Chapter 2 - Multiplying and Dividing Fractions - 2.8 Multiplying and Dividing Mixed Numbers - 2.8 Exercises - Page 176: 29

Answer

Estimate $\frac{1}{3}$ Exact $\frac{3}{10}$

Work Step by Step

$1 \frac{7}{8} \div 6 \frac{1}{4}$ Estimate Round fractions to the nearest whole number $2 \div 6$ = $\frac{2}{6}$ Reduce fraction using common factor of 2 $\frac{1}{3}$ Exact Convert mixed numbers to improper fractions $\frac{15}{8} \div \frac{25}{4}$ Multiply by the reciprocal of the divisior $\frac{15}{8} \times \frac{4}{25}$ Reduce fractions by common factors of 4 and 5 $\frac{3}{2} \times \frac{1}{5}$ = $\frac{3}{10}$
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