Natasha has 3 pounds of apples and 2 1/2 pounds of grapes. If she gives 1/3 of her apples to Silvie, how many pounds of apples does she have left

Natasha gives 1/3 * 3 pounds = 1 pound of apples to Silvie.

So she has 3 pounds - 1 pound = <<3-1=2>>2 pounds of apples left. Answer: \boxed{2}.