S denotes the set of rational numbers that are expressible as repeating duodecimal fractions of the form:

0.TUVWXTUVWX......., where T, U, V, W and X are distinct base 12 digits.

Determine the sum of the elements of S.

(In reply to working in decimal, same answer by Charlie)

Actually I worked this out in two columns on a single sheet of paper one side in base 10 so I could check my arithmetic and the other in base 12 to make sure I didn't miss anything.

Posted by Jer on 2016-05-25 20:20:09