Algebra 2 Common Core

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

Skills Handbook - Operations With Rational Expressions - Exercises: 18

Answer

$$\frac{3x^{2}}{4}$$

Work Step by Step

Dividing by a fraction is equivalent to multiplying by its inverse: $$\frac{4x}{5}\div \frac{16}{15x}=\frac{4x}{5}\times \frac{15x}{16}=\bigg(\frac{4\times x}{5}\bigg)\times \bigg(\frac{5\times 3\times x}{4\times 4}\bigg).$$ Cancel the common factors $4$ and $5$, and the result is $$\frac{3x^{2}}{4}.$$
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