18 into 8 best min fragment found: 7/2
  Cut up 18 sticks of length 8 like this:
    2 x (4 + 4)
    16 x (7/2 + 9/2)
  Reassemble as 8 sticks of length 18 like this:
    4 x (9/2 + 9/2 + 9/2 + 9/2)
    4 x (7/2 + 7/2 + 7/2 + 7/2 + 4)