60 can be divided by 1, 2, 3, 4, 5, 6 and 10. Because of this, you can avoid many fractions.
perl -E 'for $i (1..10){say "60/$i=".(60/$i)}'
Same goes for 360
perl -E 'for $i (1..360){say "360/$i=".($_=360/$i)unless(($_=360/$i)-int($_))}'
Now, base 10 time is not a new concept: metric time. It does take some time to get used to, though. (but at least you will not be ruled by Babylonian time anymore)
Speaking of Integers: I feel bad for you, son.
I got .99999999 problems, and a float ain't one......
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