The square is divided into 3 parts.

Part A is 1/3 of the area of the square.

Part B is 2/5 of the area of the square.

What fraction of the area of the square is part C?

Show your method.

The total whole number area of the square = 1.

Part A + Part B + Part C = 1.

1/3 + 2/5 + C = 1.

(5 + 6) / 15 + C = 1. LCM of 3 and 5 is 15.

11/15 + C = 1.

C = 1/1 - 11/15 = (15 - 11) / 15

C = 4/15.

Cheers.

1/3 = 5/15

2/5 = 6/15

5/15 + 6/15 = 11/15

15/15 - 11/15 = 4/15

Part C = 4/15