11 into 5 best min fragment found: 13/6
  Cut up 11 sticks of length 5 like this:
    1 x (5/2 + 5/2)
    2 x (7/3 + 8/3)
    8 x (13/6 + 17/6)
  Reassemble as 5 sticks of length 11 like this:
    1 x (8/3 + 8/3 + 17/6 + 17/6)
    2 x (5/2 + 17/6 + 17/6 + 17/6)
    2 x (13/6 + 13/6 + 13/6 + 13/6 + 7/3)