If S is the product of the integers from 1 to 100, inclusive, and T is the product of the integers from 1 to 101, inclusive, what is 1/S+1/T in terms of T ?
Given: S=100! and T=101!.
This part I fully understand: 1/100!+1/101!
But I am a little confused how this was determined: 101+1/101!
How are those "!" taken out on the numerator to get 101 and 1?
Can someone show me in detail please?