11 into 4 best min fragment found: 9/5
  Cut up 11 sticks of length 4 like this:
    1 x (2 + 2)
    10 x (9/5 + 11/5)
  Reassemble as 4 sticks of length 11 like this:
    2 x (11/5 + 11/5 + 11/5 + 11/5 + 11/5)
    2 x (9/5 + 9/5 + 9/5 + 9/5 + 9/5 + 2)