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