A digital, 12-hour clock shows hours and minutes. During what fraction of the day will the clock show the digit 0 in its display? Express your answer as a common fraction.
10 oclock hour twice a day = 120 minutes
00 - 10 twice a day for each of 22 hours 484 mins
20 30 40 50 twice a day for 22 hours 176 minutes
780 minutes out of 1440 = 13/24 (I think!)