# How do you simplify 3/(x-4) * (x-4)/(12(x-7))?

Jun 20, 2016

#### Answer:

1/(4(x-7)

#### Explanation:

$\frac{3}{\left(x - 4\right)} \cdot \frac{\left(x - 4\right)}{12 \left(x - 7\right)} \text{ put in brackets }$

You may only cancel across or through a X sign, and NOT into a bracket - you may cancel a whole bracket. Cancel factors that are the same.

$\frac{\cancel{3}}{\cancel{x - 4}} \cdot \frac{\cancel{x - 4}}{{\cancel{12}}^{4} \left(x - 7\right)}$

1/(4(x-7)