11 into 9 best min fragment found: 13/4
  Cut up 11 sticks of length 9 like this:
    1 x (9/2 + 9/2)
    4 x (15/4 + 21/4)
    2 x (7/2 + 11/2)
    4 x (13/4 + 23/4)
  Reassemble as 9 sticks of length 11 like this:
    1 x (11/2 + 11/2)
    4 x (21/4 + 23/4)
    2 x (7/2 + 15/4 + 15/4)
    2 x (13/4 + 13/4 + 9/2)