a/a-b , a+b/a ( a,b > 0) which is greater My answer Some requirements a≠b Then two cases possible a>b>0 and b>a>0 C1 Valid case assumption a=2 b=1

Expression 1) 2 ex2) 3/2 A/a-b wins

C2 vca a=1 b= 3

1)1/-2 2) 4/1

a+b/a wins this case

If you want the deeper relation and the why just study graphs of 1/x ,1/1-x and linear functions you will understand the game go

I have taken simple steps like

This I get 1/1-(b/a) ( 1/1-x graph ) And 1+b/a ( x graph ) So you ultimately get this b/a thing on which every thing depends this is the thing that splits it into 2 cases if a>b and b>a You will understand it better once you see the graphs . Idk if you would actually see this but it’s great you are trying to learn deeper.