Question

In the following exercises, simplify.

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

Short answer

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

Step-by-step solution

Step 1. Given information.

Consider the given rational expression.

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

Step 2. Rewrite the fraction.

Write the numerator and denominator showing the common factors.

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