A 4 by 2 rectangular flag is made of a 2 by 2 black square bordered by a 1 by 2 white rectangle on each of two opposite sides of the black square. A white symbol covers one-third of the area of the black square. What fraction of the total area of the front of the flag is white? Express your answer as a common fraction.
Total are of flag = (2 + 1 + 1) * 2 = 8 units2
white area = 1*2 + 1*2 + 1/3 (2*2) = 4 + 4/3
5 1/3 / 8 = 16/ 24 = 2/3 is white