Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 13 - Periodic Functions and Trigonometry - Get Ready! - Page 825: 10



Work Step by Step

Dividing by a fraction is equivalent to multiplying by the reciprocal of the fraction. $$\frac{\frac{9}{m-n}}{\frac{3}{2m-2n}}=\frac{9}{(m-n)}\times \frac{(2m-2n)}{3}$$ Factor each term: $$\frac{3\times 3}{(m-n)}\times \frac{2(m-n)}{3}.$$ Cancel common factors: $$3\times 2=6.$$
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