14 into 3 best min fragment found: 7/5
  Cut up 14 sticks of length 3 like this:
    14 x (7/5 + 8/5)
  Reassemble as 3 sticks of length 14 like this:
    2 x (7/5 + 7/5 + 8/5 + 8/5 + 8/5 + 8/5 + 8/5 + 8/5 + 8/5)
    1 x (7/5 + 7/5 + 7/5 + 7/5 + 7/5 + 7/5 + 7/5 + 7/5 + 7/5 + 7/5)