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