I couldn't seem to find anyone asking a question like this anywhere, so I figured I'd start here. The sentence in question is
"A dolphin sleeps with half its brain awake so it can remain aware of its underwater environment."
My question is would it be more grammatically correct to say "half of its" or is "half its" just as valid a way to write this sentence as "half of its"? Whatever the answer, is there anyone that may have a rule or some form of logical explanation as to why that answer is correct?
I appreciate any help that can be offered.