Numeric facts on fractions, that few are aware of.

Assume a fraction k/m, with 0≤k≤m and look at its digits written out

  1. The fraction has a finite number of digits (less m) OR is a repeated sequence with at the most m-1 digits per group
  2. A repeated sequence will have at the most n-1 zeroes next to each other, if the number is below 10ⁿ
  3. Interesting digit-structure of the sequence times m, with many 9’s (base minus 1) .

Continue reading “Numeric facts on fractions, that few are aware of.”