16 into 9 best min fragment found: 11/3
  Cut up 16 sticks of length 9 like this:
    4 x (4 + 5)
    12 x (11/3 + 16/3)
  Reassemble as 9 sticks of length 16 like this:
    4 x (16/3 + 16/3 + 16/3)
    1 x (4 + 4 + 4 + 4)
    4 x (11/3 + 11/3 + 11/3 + 5)