The student spent 2 2/3 hours exercising this week, which also transfers to 160 minutes. Divide this by 6 to find 1/6 of his/her time. The result is 26.67 (rounded), so roughly 27 minutes were spent on basketball. to check, you can multiply 26.67 by 6 to get 160.02, which rounds back to 160 minutes.
