How does this Expression Simplify to $\frac1n$

Question

A somewhat trivial question;

How does the following simplify to $\frac1n$?

$$\frac{(n-1)!}{n!} = \frac1n$$

I'm just not seeing the algebra/operations. Is there a way to expand $!(n-1)$?

Answer 1

$$\frac{(n-1)!}{n!}=\frac{1\cdot2\cdot3\dots(n-2)\cdot(n-1)\phantom{\ \cdot n}}{1\cdot2\cdot3\dots(n-2)\cdot(n-1)\cdot n}=\boxed{\frac 1n}$$