(2/3) ^ 3 = (2*2*2) / (3*3*3) = 8 / 27
2 and 7/9 = (18 + 7)/9 = 25 /9
Add these two together
8/27 + 25/9 = 8/27 + 25*3/(9*3)
8/27 + 75/27 = 83/27 <<<< answer 1
The result
83 / 27 = 3 with a remainder of 2 = 3 2/27 <<<<< answer 2
83/ 27 = 3.074074 <<<<<<<< answer 3
Note
I don't know which answer to pick. I would suspect the first one, but it depends on what you have been told.