I would first convert (112/9)π into a mixed number. Dividing tells us that this is equivalent to 12π and (4/9)π
In order to find a coterminal angle, 12π and (4/9)π = (6*2)π and (4/9)π.
In other words, the 12π is just laps around the circle, all terminating in the same place. So, only the (4/9)π
really matters.
Therefore, the answer is (4/9)π