Do you burn more fat when you exercise first then eat breakfast or do you burn more fat when you eat breakfast first and then exercise?

Yes. Typically if you are trying to lose weight you should work out on an empty stomach so that your body uses your fat for energy rather than the food that is sitting in your stomach. If you must have a little something before you do your workout to wake yourself up a bit, have a whole wheat cracker and a little bit of water first. But do not eat a full meal until after you've finished working out. And make sure your meal has proteins, fiber and carbs together.