here is the problem

Prove the following statement by mathematical induction:

1/2+1/6+...+1/n(n+1)=n/n+1, for all integers n> or = 1

My first thought is to solve the n/n+1 side with the number 1

So I get 1/2 on both sides by substituting. Then I start to become unsure on where to go from there.

Any help would be awesome.