How much is half of a third of a cup?

2 tablespoons + 2 teaspoons = 1/2 of 1/3 cup

explanation -

48 teaspoons = 1 cup

1 cup / 3 = 16

16 teaspoons = 1/3 cup

1/3 cup / 2 = 8

8 teaspoons = 1/3 cup

3 teaspoons = 1 tablespoon

6 teaspoons = 2 tablespoons

6 teaspoons + 2 teaspoons = 8 teaspoons

2 tablespoons + 2 teaspoons = 8 teaspoons = 1/2 of 1/3 cup

A half of a third of anything is one sixth. By all means use cups, tablespoons and teaspoons but first make sure your tableware has been calibrated to standard sizes.