9 into 7 best min fragment found: 5/2
  Cut up 9 sticks of length 7 like this:
    3 x (3 + 4)
    6 x (5/2 + 9/2)
  Reassemble as 7 sticks of length 9 like this:
    3 x (9/2 + 9/2)
    1 x (3 + 3 + 3)
    3 x (5/2 + 5/2 + 4)