24 into 11 best min fragment found: 19/4
  Cut up 24 sticks of length 11 like this:
    2 x (11/2 + 11/2)
    2 x (21/4 + 23/4)
    4 x (5 + 6)
    16 x (19/4 + 25/4)
  Reassemble as 11 sticks of length 24 like this:
    1 x (23/4 + 23/4 + 25/4 + 25/4)
    4 x (11/2 + 6 + 25/4 + 25/4)
    2 x (21/4 + 25/4 + 25/4 + 25/4)
    4 x (19/4 + 19/4 + 19/4 + 19/4 + 5)