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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 7: Q.483. (page 742)

Simplify $\frac{4 a^{2} b}{12 a b^{2}}$ .

Short Answer

Expert verified

The solution is $\frac{a}{3 b}$ .

Step by step solution

01

Step 1. Given information.

The given expression is $\frac{4 a^{2} b}{12 a b^{2}}$ .

02

Step 2. Simplify the rational expression.

$\frac{4 a^{2} b}{12 a b^{2}} = \frac{4 路 a 路 a 路 b}{12 路 a 路 b 路 b} \frac{4 a^{2} b}{12 a b^{2}} = \frac{4 路 a 路 a 路 b}{4 路 3 路 a 路 b 路 b} (R e m o v e t h e c o m m o n f a c t o r f r o m n u m e r a t o r a n d d e n o m i n a t o r) \frac{4 a^{2} b}{12 a b^{2}} = \frac{a}{3 b}$

03

Step 3. Simplified answer.

Hence, the simplified expression is $\frac{a}{3 b}$ .

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