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