



 
Kenneth, The number of days in a year is not a multiple of 7 (and so not of 14 either). That means that the number of weeks in a year isn't exactly 26. There are actually 52 1/7 weeks in a year (52 x 7 = 364). That means that there are 26 1/14 paychecks if you count this way too. The thing is, you only receive 26 of them during the year. Victoria
(52 weeks/year)divided by (2 weeks/1 check) equals 26 paychecks per year. But there aren't exactly 52 weeks per year (52 x 7 = 364); there are 52 1/7 weeks (ignoring leap years.) Therefore, one year in fourteen (still ignoring leap years) , payday falls on Jan 1st and Dec 31st of the same year and we get 27 paycheques (loud cheers!) Half of 52 1/7 is 26 1/14, so that is where that number comes from. In fact, almost one year in four is a leap year, and in a leap year, if payday falls on Jan 1st or Jan 2nd you will get a 27th paycheque that year. RD  


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences. 