14 into 8 best min fragment found: 10/3
  Cut up 14 sticks of length 8 like this:
    2 x (4 + 4)
    12 x (10/3 + 14/3)
  Reassemble as 8 sticks of length 14 like this:
    4 x (14/3 + 14/3 + 14/3)
    4 x (10/3 + 10/3 + 10/3 + 4)