Kimberly gave half of her grapes to akeem and one third to jamila. what fraction did she still have?

The total grapes is a whole, that is 100% or simply put 1, all the fractions must add to 1 to get the total. So we have:

akeem: 1/2

jamila: 1/3

kim: x

1/2 + 1/3 + x = 1

3/6 + 2/6 + x = 1

5/6 + x = 1

x = 1 - 5/6

x = 6/6 - 5/6

x = 1/6

so kim has 1/6 still