Question

Every time the minute hand on my watch clicks, it turns 13 and a half degrees. What fraction of a circle has it covered in a third of a minute?

Answer 1

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