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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 8: Q 23. (page 917)

In the following exercises, simplify.
$\frac{8 m^{3} n}{12 m n^{2}}$

Short Answer

Expert verified

The result is $\frac{2 m^{2}}{3 n}$ .

Step by step solution

Step 1. Given information.

Consider the given rational expression.

$\frac{8 m^{3} n}{12 m n^{2}}$

Step 2. Rewrite the fraction.

Write the numerator and denominator showing the common factors.

$\begin{array}{l} \frac{8 m^{3} n}{12 m n^{2}} = \frac{4 路 2 路 m 路 m 路 m 路 n}{4 路 3 路 m 路 n 路 n} \\ = \frac{2 路 m 路 m}{3 路 n} \\ = \frac{2 m^{2}}{3 n} \end{array}$

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In the following exercises, simplify. 8m3n12mn2

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Rewrite the fraction.

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In the following exercises, simplify.
$\frac{8 m^{3} n}{12 m n^{2}}$