Question

How do you simplify `\frac{27u}{36u^{3}}`?

Answer 1

`3/(4u^2)`

Explanation:

We have `(27u)/(36u^3)`

We can take out forms of the number 1 until we have a simplified version of this fraction:

`(27u)/(36u^3)=(3xx9xxu)/(3xx12xxuxxu^2)=(3xx3xx3xxu)/(3xx3xx4xxuxxu^2)=(3/3)(3/3)(u/u)(3/(4u^2))=1xx1xx1xx(3/(4u^2))=3/(4u^2)`