23 into 15 best min fragment found: 23/4
  Cut up 23 sticks of length 15 like this:
    1 x (15/2 + 15/2)
    2 x (29/4 + 31/4)
    2 x (7 + 8)
    2 x (27/4 + 33/4)
    2 x (13/2 + 17/2)
    2 x (25/4 + 35/4)
    2 x (6 + 9)
    10 x (23/4 + 37/4)
  Reassemble as 15 sticks of length 23 like this:
    2 x (27/4 + 7 + 37/4)
    2 x (13/2 + 29/4 + 37/4)
    2 x (25/4 + 15/2 + 37/4)
    2 x (6 + 31/4 + 37/4)
    2 x (23/4 + 17/2 + 35/4)
    2 x (23/4 + 33/4 + 9)
    2 x (23/4 + 8 + 37/4)
    1 x (23/4 + 23/4 + 23/4 + 23/4)