There are numerous important information's already given in the question. Based on those information's the answer to the question can be easily determined.
Time for which the wheel rotates = 2 minutes
Number of rotations that the wheel makes in 1 minute = 6 2/9
= 56/9
Then
The number of rotations the wheel makes in 2 minutes = (56/9) * 2
= 112/9
= 12 4/9 rotations
so the wheel makes 12 4/9 rotations in 2 minutes. I hope the procedure is clear enough for you to understand. You can always use this procedure for solving similar problems without requiring any help from outside.