Question

What fraction of a turn does the minute hand of a clock rotate by betwe 03:20 and 03:55? Give your answer in its lowest terms.

Answer 1

The minute hand of the clock rotates by 7/12 of a turn between 03:20 and 03:55.

Step-by-step explanation:

To find the fraction of a turn the minute hand of a clock rotates between 03:20 and 03:55, we need to determine how much time has passed. From 03:20 to 03:55, 35 minutes have passed. In 1 hour, or 60 minutes, the minute hand of a clock completes a full revolution, which is 1 turn or 360 degrees. Therefore, in 35 minutes, the minute hand rotates a fraction of a turn. To find this fraction, divide 35 by 60:

35/60 = 7/12

So, the minute hand of the clock rotates by 7/12 of a turn between 03:20 and 03:55.