Question

In the following exercises, simplify.

$\frac{6a{b}^2}{12a^{2}b}$

Short answer

The result is$\frac{b}{2a}$.

Step-by-step solution

Step 1. Given information.

Consider the given rational expression.

$\frac{6a{b}^2}{12a^{2}b}$

Step 2. Rewrite the fraction.

Write the numerator and denominator showing the common factors.

$\begin{array}{l}\frac{6a{b}^2}{12a^{2}b}=\frac{6·a·b·b}{2·6·a·a·b}\\ =\frac{1·b}{2·a}\\ =\frac{b}{2a}\end{array}$