I love how the example is super confusing. You sleep 3.33… metric hours. You fall asleep 9:50 metric time. You'd think we can just interchange the . and : so you should wake up 12:83…, or 2:83… the next day. But no, it's apparently 2:75 metric time. Why? Also nice how they IMMEDIATELY ran into a continuing fraction 1/3, which is exactly the point of the 60-minute hour, 24-hour day, or 360-degree circle: lots of facto…
Come to think of it, being able to cleanly divide a minute or an hour into 2, 3, 4, 5 and 6 equal parts is pretty damn handy.
Lawyers bill their time in tenths of an hour - exactly 6 minute increments.