You have an "eight day" schedule and a "seven day" schedule. Since eight days is not divisible by 7, I don't think a "eight week" schedule is appropriate. The least common multiple of 8 and 7 is 56 or 8 seven day weeks. With 8 weeks, a person on the eight day schedule would be paid 8(1254)= \$10032. In 56 days, a person working "6 days on and 2 days off", the "eight day" schedule, will have worked 7 "rotations", working 7(6)= 42 days and having 7(2)= 14 days off, so making 10032/42= \$238.86 per working day. A person working "4 days on and 3 days off, the "seven day" schedule", will be paid 8(955.44)= 7643.52 and will have worked 8(4)= 32 days and having 8(3)= 24 days off so making 7643.52/32= $238.86 per working day. There is no change in daily pay. On the other hand, on this new schedule, they will be working fewer days so making less total money. That might be more important to them than "pay per day".

I'm looking for the best way to explain to employees how their weekly salary will change when going from a 6 day on 2 day off schedule to a 4 day on 3 day off schedule. Lets just say the weekly salary is \$1254. I used a common 8 week period to compare the 2 different schedules. I came up with a daily rate of 238.86 (10032 / 42 (number of days worked on a 6 and 2 schedule over a period of 8 weeks)). The new weekly rate is \$955.44 (4 * 238.86). Can any one give me a simple explanation that I can use to show how the math works? Any help would be greatly appreciated.

Thank you
Todd