How do I simplify this factorial expression?

Question

n(n!) / (n+1)!

Please show the steps and explain the process!!!

Answer 1

Ok, the first thing you need to know is that (n+1)! is the same as (n+1)(n!).  Substitute that in and you have

n(n!)/[(n+1)(n!)]

Cancel the (n!) and you get

n/(n+1) which does not reduce any further, so you are done.