1. Simplifying factorials?

hey, could anybody please help me to simplify the following factorial and show how they did so?

$\frac{(2n+1)!}{(2n+3)!}$

thank you very much

2. $\frac{(2n+1)!}{(2n+3)!}=\frac{(2n+1)!}{(2n+3)(2n+2 )(2n+1)!}= \frac{1}{(2n+3)(2n+2)}$