I know I have to use out of when I'm speaking about position:
I took the beef out of the fridge.
I took your trousers out of the closet.
Also, I know it's used when speaking about more abstract concepts like "this situation is out of control" and so on.
On the other hand, there is another way of using "out of", which I personally don't entirely understand:
She called you out of curiosity.
He only did it out of duty.
Five out of ten students took the final exams twice.
Ten out of fifteen kids liked my apple pie.
She made a shirt out of old fabric.
She made a cake out of passion fruit.
According to the dictionary I use,
in sentence 1 and 2 "out of" means "because of"
in 3 and 4 it means "from among"
in 5 and 6 it means "made from".
Because of, from among, and made of are terms I understand and can deal with, but I need to know if "OUT" can be left out in any of the sentences above or if they could even be rewritten keeping "OF" but leaving out "OUT"?