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I don't give half a fuck 

To care so little about something that one half of the standard fuck will suffice. Used when you want to make clear that you truely could care less.
Mary: "Do you want to go have sushi or steak?"
Joe: "Whatever, I don't care".
Mary: "Or should we go to Benihana?"
Joe: "I don't give half a fuck! Let's just eat!"

I don't give two and a half shits 

You really, REALLY don't care about what someone just told you.
Brody: Hey, I just found this really funny video I wanna show you, it's about this-

Ryan: I don't GIVE two and a half shits, alright?!

I don't give two and a half shits 

Combining a reference to two and a half men and the fact that you care so little about what the other person's saying.
-Hey, guess what I was doing last night?
-You know what? I don't give two and a half shits!