Lunar calendar average length of the synodic month is days. Thus it is convenient if months generally alternate between 29 and 30 days (sometimes termed respectively “"hollow"” and “"full"”). The distribution of "hollow" and "full" months can be determined using continued fractions, and examining successive approximations for the length of the month in terms of fractions of a day. In the list below, after the number of days listed in the numerator, an integer number of months as listed in the denominator have been completed: These fractions can be used to construct a lunar calendar, or in combination with a solar calendar
2007 Iditarod minutes later at 10:28:12 pm with a time of 9 days, 7 hours, 28 minutes, and 12 seconds. Steer finished third five hours and 48 minutes later at 03:46:07 with a time of 9 days, 12 hours, 46 minutes, and 7 seconds. Buser finished fourth 21 minutes after Steer at 04:07:04 with a time of 9 days, 13 hours, 7 minutes, and 4 seconds. King finished fifth two hours later at 06:05:17 am with a time of 9 days, 15 hours, 5 minutes, and 17 seconds. Twenty-three mushers have scratched from the race: Witnesses said they saw Ramy Brooks punch