18 into 11 best min fragment found: 9/2
  Cut up 18 sticks of length 11 like this:
    6 x (5 + 6)
    12 x (9/2 + 13/2)
  Reassemble as 11 sticks of length 18 like this:
    2 x (6 + 6 + 6)
    6 x (5 + 13/2 + 13/2)
    3 x (9/2 + 9/2 + 9/2 + 9/2)