Can my broken crown be fixed, or would it need to be replaced? How much would it cost?

Without a photo it is difficult to give you an exact answer. Usually, broken crowns require replacement. He cost will vary based on technique and the materials used. Your dentist will be able to give you an exact answer after examining you.

Depending on how much of it is broken and what type of crown it is, it may be possible to repair it,at least temporarily, with composite bonding. The best and longest lasting solution is to have a new crown done unless you absolutely cannot afford to. Your dentist can give you the options available to you in terms of type of crown and the cost which may vary