Verified Answer :

What is greater? 2/3 or 5/8

Change both to decimal and compare. 

2/3
2 ÷ 3 = 0.6

5/8 
5 ÷ 8 = 0.625

0.625 is greater than 0.6
5/8 is greater than 2/3.

2/3 is greater than 5/8 because if you multiply 8 by 3 you get 24(28=16 , 16/24)
(5
3= 15/24 )

This is how I will do it , maybe I am wrong or right so let me know !