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# How many Leap Days occur in 400 years?

Question #125279. Asked by iwa2. (Feb 29 12 12:48 PM)

paper_aero

97
1 every 4 years except years ending 00
For those only if the first two digits are divisible by 4
Hence the average number of days a year is 365.2425
(Using the Western Gregorian Calendar)
Have to see if I can find a website for this - hold on

OK Wiki
http://en.wikipedia.org/wiki/Leap_year

"In the Gregorian calendar, the current standard calendar in most of the world, most years that are evenly divisible by 4 are leap years. In each leap year, the month of February has 29 days instead of 28. Adding an extra day to the calendar every four years compensates for the fact that a period of 365 days is shorter than a solar year by almost 6 hours.

Some exceptions to this rule are required since the duration of a solar year is slightly less than 365.25 days. Years that are evenly divisible by 100 are not leap years, unless they are also evenly divisible by 400, in which case they are leap years. For example, 1600 and 2000 were leap years, but 1700, 1800 and 1900 were not. Similarly, 2100, 2200, 2300, 2500, 2600, 2700, 2900 and 3000 will not be leap years, but 2400 and 2800 will be. Therefore, in a duration of two millennia, there will be 485 leap years. By this rule, the average number of days per year will be 365 + 1/4 ? 1/100 + 1/400 = 365.2425, which is 365 days, 5 hours, 49 minutes, and 12 seconds."

 Feb 29 12, 1:12 PM

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