Is 2/15 closer to 0, 1/2, or 1

The answer is 0.

Multiply them by a common multiple:

0, 2/15, 1/2, 1

Common multiple is 30

0 x 30, (2x2) / (15x2), (1x15) / (2x15), (1x30) / (1x30) =

0, 4/30, 15/30, 30/30

From this, we can see that that 2/15 is closer to 0 than 1/2 or 1