17 into 7 best min fragment found: 11/4
  Cut up 17 sticks of length 7 like this:
    1 x (7/2 + 7/2)
    4 x (3 + 4)
    12 x (11/4 + 17/4)
  Reassemble as 7 sticks of length 17 like this:
    1 x (17/4 + 17/4 + 17/4 + 17/4)
    2 x (11/4 + 11/4 + 7/2 + 4 + 4)
    4 x (11/4 + 11/4 + 3 + 17/4 + 17/4)