To figure out the answer follow the steps below...
Step 1: Change both fractions to make them have the same denominators
4/8=12/24
2/3=16/24
Step 2: Compare your new fractions
12/24
16/24
Step 3(is optional): Write your answer in a complete statement
4/8 is not greater than 2/3
Answer: No
I hope this helps and I apologize in advance if I gave any false information.