11 into 8 best min fragment found: 8/3
  Cut up 11 sticks of length 8 like this:
    1 x (4 + 4)
    2 x (11/3 + 13/3)
    2 x (10/3 + 14/3)
    2 x (3 + 5)
    4 x (8/3 + 8/3 + 8/3)
  Reassemble as 8 sticks of length 11 like this:
    2 x (8/3 + 4 + 13/3)
    2 x (8/3 + 11/3 + 14/3)
    2 x (8/3 + 10/3 + 5)
    2 x (8/3 + 8/3 + 8/3 + 3)