Yes, He has enough for 2 loads. If you simplify 4/6 you get 2/3 because 4 divided by 2 is 2 and 6 divided by 2 is 3. You end up with 2/3, and according to the problem that is enough for 2 loads.
Hope this helped :)
I'm editing my answer:
No he does not have enough for one load because he needs 2/3 for one load and he only has 1/3
Sorry for the mistake :/