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: 42

Answer

To divide mixed numbers you first convert the mixed numbers to improper fractions. You then change the division problem to a multiplication problem by multiplying by the reciprocal of the divisor. Third you look for common factors between the numerators and denominators of the improper fractions and reduce if possible. The fourth step is to multiply the numerators and multiply the denominators.

Work Step by Step

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, then add that product to the numerator. $a\frac{b}{c}=\frac{ac+b}{c}$ To multiply by the reciprocal of the divisor: $\frac{a}{b}\div\frac{x}{y}=\frac{a}{b}\times\frac{y}{x}$
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