11 into 6 best min fragment found: 7/3
  Cut up 11 sticks of length 6 like this:
    1 x (3 + 3)
    2 x (8/3 + 10/3)
    8 x (7/3 + 11/3)
  Reassemble as 6 sticks of length 11 like this:
    2 x (11/3 + 11/3 + 11/3)
    2 x (7/3 + 7/3 + 3 + 10/3)
    2 x (7/3 + 7/3 + 8/3 + 11/3)