Clarissa cycled at 12 1/2 miles per hour for 2 1/2 hours. How far did she travel
To find how far Clarissa traveled, we need to multiply her speed (12 1/2 miles per hour) by the time she traveled (2 1/2 hours).
Converting 12 1/2 to a mixed fraction, we get 12 1/2 = 25/2.
Thus, the distance Clarissa traveled is (25/2) miles per hour * 2 1/2 hours = (25/2) * (5/2) = 125/4 = <<125/4=31.25>>31.25 miles. Answer: \boxed{31.25}.