Awheel rotates for 2 minutes. if it makes 6 2\9 rotation each minute, how many rotations does it make? show your work.

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.