28 into 23 best min fragment found: 33/4
  Cut up 28 sticks of length 23 like this:
    2 x (23/2 + 23/2)
    8 x (39/4 + 53/4)
    4 x (19/2 + 27/2)
    2 x (9 + 14)
    4 x (17/2 + 29/2)
    8 x (33/4 + 59/4)
  Reassemble as 23 sticks of length 28 like this:
    1 x (14 + 14)
    4 x (27/2 + 29/2)
    8 x (53/4 + 59/4)
    2 x (9 + 19/2 + 19/2)
    4 x (17/2 + 39/4 + 39/4)
    4 x (33/4 + 33/4 + 23/2)