Chapter 11: Q. 7 (page 1069)

Simplify the rational expression $\frac{8 m^{3} n}{12 m n^{2}}$ .

Short Answer

Expert verified

The simplified form of rational expression $\frac{8 m^{3} n}{12 m n^{2}}$ is $\frac{2 m^{2}}{3 n}$ .

Step by step solution

Step 1. Given information

Given rational expression is $\frac{8 m^{3} n}{12 n^{2}} .$

we have to simplify the given rational expression.

. Simplification of rational expression

To simplify first we have to find out a common factor and divide out that common factor from both denominator and numerator and then simplify the rational expression.

so here common factor is 4mn , divide out from both numerator and denominator, then we get a simplified form

$\frac{8 m^{3} n}{12 m n^{2}} = \frac{\frac{8 m^{3} n}{4 m n}}{\frac{12 m n^{2}}{4 m n}} = \frac{2 m^{2}}{3 n}$

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Simplify the rational expression $\frac{8 m^{3} n}{12 m n^{2}}$ .

Short Answer

Step by step solution

Step 1. Given information

. Simplification of rational expression

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Simplify the rational expression 8m3n12mn2.

Short Answer

Step by step solution

Step 1. Given information

. Simplification of rational expression

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

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Study anywhere. Anytime. Across all devices.

Simplify the rational expression $\frac{8 m^{3} n}{12 m n^{2}}$ .