Not just silent adult tears, but really sobbing.

Is this a simple sentence or fragment.

I think it is a fragment, is that correct. But, I am having trouble coming up with why?

Fragment, as we don't know who the subject of the sentence is. Who is really sobbing?

How about this one? A little scared, I headed for El Building.

Would it be a fragment or simple sentence?

A simple sentence with an introductory adjective phrase.

Yes, you're correct. "Not just silent adult tears, but really sobbing" is a fragment. A simple sentence should have a subject and a verb that forms a complete thought. In this case, there is no subject or verb, so it doesn't form a complete thought. It seems to be missing information and does not express a complete idea or make sense on its own.