## Algebra 2 Common Core

Published by Prentice Hall

# Skills Handbook - Operations With Rational Expressions - Exercises - Page 984: 1

#### Answer

$$\frac{a}{3b^{2}}$$

#### Work Step by Step

To simplify, first factor numerator and denominator: $$\frac{4a^{2}b}{12ab^{3}}=\frac{4\times a\times a\times b}{3\times 4\times a\times b\times b^{2}}.$$ Cancel common factors $4$, $a$, and $b$: $$\frac{a}{3b^{2}}.$$

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