19 into 8 best min fragment found: 13/4
  Cut up 19 sticks of length 8 like this:
    1 x (4 + 4)
    2 x (15/4 + 17/4)
    2 x (7/2 + 9/2)
    14 x (13/4 + 19/4)
  Reassemble as 8 sticks of length 19 like this:
    2 x (19/4 + 19/4 + 19/4 + 19/4)
    2 x (13/4 + 13/4 + 15/4 + 4 + 19/4)
    2 x (13/4 + 13/4 + 7/2 + 17/4 + 19/4)
    2 x (13/4 + 13/4 + 13/4 + 9/2 + 19/4)