13 into 4 best min fragment found: 11/6
  Cut up 13 sticks of length 4 like this:
    1 x (2 + 2)
    12 x (11/6 + 13/6)
  Reassemble as 4 sticks of length 13 like this:
    2 x (13/6 + 13/6 + 13/6 + 13/6 + 13/6 + 13/6)
    2 x (11/6 + 11/6 + 11/6 + 11/6 + 11/6 + 11/6 + 2)