14 into 6 best min fragment found: 5/2
  Cut up 14 sticks of length 6 like this:
    2 x (3 + 3)
    12 x (5/2 + 7/2)
  Reassemble as 6 sticks of length 14 like this:
    2 x (7/2 + 7/2 + 7/2 + 7/2)
    4 x (5/2 + 5/2 + 5/2 + 3 + 7/2)