At 3:15, the minute hand is at 90 degrees (15 minutes), and the hour hand is at 97.5 degrees (3 hours and 15 minutes). The angle between them is 97.5 - 90 = 7.5 degrees, but since we consider the larger angle, it is 360 - 7.5 = 352.5 degrees. However, the question asks for the smaller angle which is 112.5 degrees.