Hey so if every time the minute hand clicks it turns 13.5 degrees and the question is asking us to find the fraction of a circle it covers in a third of a minute we must divide 13.5 by 3.
1) 13.5 / 3 = 4.5 degrees
Now we must find out what fraction of a circle 4.5 degrees is. If a circle is 360 degrees and the minute hand turns 4.5 degrees every third of a minute then we must divide 4.5 by 360 to get our answer.
2) 4.5/60
Finally let's simplify our answer
3) (4.5 / 60) / 1.5 = 3/40
ANSWER: The fraction of the circle the minute hand covers every third of a minute is 3/40
