I think the Babylonians came up with the 12/24/60/360 system because
it's a number that is divisible by a LOT of other numbers.
[...]
You are replying to a message that is almost 3 years old. It is
still a relevant topic though.
I personally like the pure decimal notation for the sake of its
mathematical simplicity, but there is a good reason to use
degrees, minutes, and decimal minutes instead, because that is
what most GPS maps use. It is something like a standard. It is
also the default setting on Garmin GPS receivers, I believe.
One reason why maps use it is that along the meridians and along
the equator each minute is a nautical mile. So, for example,
S 1° 16.35' is 60 + 16.35 nm = 76.35 nm south of the equator.
If I had to report an emergency and its GPS coordinates over the
phone, I would use this notation first and stick to it until the
phone operator tells me otherwise, thus: "south one degree, 16
decimal 3 minutes."
Hans-Georg