17 into 5 best min fragment found: 13/6
  Cut up 17 sticks of length 5 like this:
    1 x (5/2 + 5/2)
    2 x (7/3 + 8/3)
    14 x (13/6 + 17/6)
  Reassemble as 5 sticks of length 17 like this:
    1 x (17/6 + 17/6 + 17/6 + 17/6 + 17/6 + 17/6)
    2 x (13/6 + 13/6 + 13/6 + 7/3 + 5/2 + 17/6 + 17/6)
    2 x (13/6 + 13/6 + 13/6 + 13/6 + 8/3 + 17/6 + 17/6)