16 into 6 best min fragment found: 8/3
  Cut up 16 sticks of length 6 like this:
    16 x (8/3 + 10/3)
  Reassemble as 6 sticks of length 16 like this:
    4 x (8/3 + 10/3 + 10/3 + 10/3 + 10/3)
    2 x (8/3 + 8/3 + 8/3 + 8/3 + 8/3 + 8/3)