I've been scratching my head looking at this for a while.
These are just observations.
The outer dial goes from 0 to 19.
Many but not all numbers are accompanied by fractions.
For 4 fractions 1/4, 2/8 and 3/12 all are equivalent to 4/16
For 8 the fractions 1/2, 4,8, 3/6 and 6/12 are equivalent to 8/16
For 10 5/8 = 10/16
For 12 3/4, 6/8/ 9/12 are equivalent to 12/16
This suggests 4/5 + 12 may therefore be equivalent to 12/6 (or 3/4).
All the fractions with an addition next to them give a result that is slightly too large. e.g. 7/12 > 9/16
The outer arrows indicate movement i8na negative direction.
Against 9, is it possible that 7/12 + 1 means 7/12 'plus' one step of the dial in a negative direction?