Don't understand transformation (physics problem, but it's about basic math)?

Hey, I somehow don't understand the transformation in the solution. How do you get 1+delta m/m=1+delta n/n? I'm too stupid to use simple fraction arithmetic, so if someone could explain this to me as simply as possible, I'd be super grateful. And why can 1/2 be ignored for n >> 1? Here's the problem, for…