Ann started reading at 4:00 and finished at 4:20 through what fraction of a circle did the minute hand turn

20/60 = 2/6 = 1/3

To determine the fraction of a circle that the minute hand turned during the given time period, we need to consider the time elapsed and the total time it takes for the minute hand to complete a full revolution.

The minute hand takes 60 minutes to complete a full revolution around the clock. Therefore, in 20 minutes, it would have covered 20/60 or 1/3 of the full revolution.

Hence, during the given time period (4:00 to 4:20), the minute hand turned through 1/3 of a circle.