Half the broccoli

None of the exmaples is correct.

onizoA half of broccoliA half the broccoliA half broccoli

This is a "head of broccoli".

" A half the broccoli" doesn't mean anything. But you can say " John only ate half of the broccoli ( on his plate). His mom could have put broccoli cut up in small pieces on his plate, which may equtes to half a head of broccoli.

Anonymouswhich may equate to half a head of broccoli.

Ooops!

onizo A half of broccoliA half the broccoliA half broccoli

Then, following would be all correct? : a half of a head of broccoli,
a half a head of broccoli

can you give a confirmation?

onizo onizo A half of broccoliA half the broccoliA half broccoliThen, following would be all correct? : a half of a head of broccoli, a half a head of broccolican you give a confirmation?

They are clumsy wordings and seem odd. Half a head of broccoli would be natural.

Yes, those are both okay.

would you say half of a piece of ham or half of ham?

onizowould you say half of a piece of ham or half of ham?

Half a piece of ham. There is no need for the word of.

onizowould you say half of a piece of ham or half of ham?

It would depend on your conception of "ham". Butchers/meat markets sell halves of ham, whole hams, and ham legs. Even a whole ham is only one leg of the original pig.

Thank you everyone for the inputs.

I am pretty confused by different opinions from Khoff, who is native, and anonymous user, whose native identity I do not know.

onizoThank you everyone for the inputs. I am pretty confused by different opinions from Khoff, who is native, and anonymous user, whose native identity I do not know.

Before you get any more confusion. Let's establish something about food. We all know fruits. half a banana/ apple/ orange would mean excactly that, "half", and we all have a mental picture of it.