What kind of fragment is "near the computer"?

A. Independent clause

B. Predicate

C. Subordinating conjunction

D. Prepositional phrase

This is a D. Prepositional phrase.

It's a phrase and not a clause because it doesn't have a verb in it, and it is not a predicate as it doesn't denote an action. It isn't a conjunction because it doesn't connect anything. It is however a prepositional phrase because it uses a preposition "near" with a noun phrase the computer.