13 into 6 best min fragment found: 13/5
  Cut up 13 sticks of length 6 like this:
    3 x (14/5 + 16/5)
    10 x (13/5 + 17/5)
  Reassemble as 6 sticks of length 13 like this:
    1 x (16/5 + 16/5 + 16/5 + 17/5)
    3 x (14/5 + 17/5 + 17/5 + 17/5)
    2 x (13/5 + 13/5 + 13/5 + 13/5 + 13/5)