23 into 12 best min fragment found: 13/3
  Cut up 23 sticks of length 12 like this:
    2 x (124/21 + 128/21)
    1 x (39/7 + 45/7)
    1 x (38/7 + 46/7)
    2 x (107/21 + 145/21)
    3 x (103/21 + 149/21)
    8 x (100/21 + 152/21)
    6 x (13/3 + 23/3)
  Reassemble as 12 sticks of length 23 like this:
    2 x (23/3 + 23/3 + 23/3)
    1 x (100/21 + 38/7 + 39/7 + 152/21)
    2 x (100/21 + 107/21 + 124/21 + 152/21)
    1 x (100/21 + 103/21 + 45/7 + 145/21)
    2 x (100/21 + 103/21 + 128/21 + 152/21)
    1 x (100/21 + 100/21 + 46/7 + 145/21)
    3 x (13/3 + 13/3 + 149/21 + 152/21)