I need to express the following in equivalent form:

m-2/m^2-5m+6 , 2x+6/x^2-6x-27 , a^2+a/a^2+2a+1 , 2w+1/2w^2+2w+1 , 8Z+6Z^2/9z^2-16

I really don't understand how I can do this if the denominator is smaller and I just don't see how I can simplify since I think that's what it's asking; I really just need an overall explanation how to do it, not the answer to them all;. Thanks.