Whisk 1/3 cup of flour, salt and pepper in a bowl to blend. Whisk in beer to make the batter.

Add enough vegetable oil to a large skillet to  reach a 1/2-inch depth. Place remaining 2 tablespoons flour on a plate. Coat fish in flour then dip in batter, letting excess drip off. Add fish to hot oil and fry until golden brown and crisp, about 4 minutes per side.
Transfer fish to paper towel to dry (both sides).

Serve with your favorite slaw or potato salad recipe.