27 into 11 best min fragment found: 17/4
  Cut up 27 sticks of length 11 like this:
    1 x (11/2 + 11/2)
    2 x (21/4 + 23/4)
    2 x (5 + 6)
    2 x (19/4 + 25/4)
    2 x (9/2 + 13/2)
    18 x (17/4 + 27/4)
  Reassemble as 11 sticks of length 27 like this:
    1 x (27/4 + 27/4 + 27/4 + 27/4)
    2 x (17/4 + 9/2 + 19/4 + 27/4 + 27/4)
    2 x (17/4 + 17/4 + 23/4 + 6 + 27/4)
    2 x (17/4 + 17/4 + 11/2 + 25/4 + 27/4)
    2 x (17/4 + 17/4 + 21/4 + 13/2 + 27/4)
    2 x (17/4 + 17/4 + 5 + 27/4 + 27/4)