15 into 11 best min fragment found: 11/3
  Cut up 15 sticks of length 11 like this:
    2 x (16/3 + 17/3)
    2 x (5 + 6)
    2 x (14/3 + 19/3)
    2 x (13/3 + 20/3)
    2 x (4 + 7)
    5 x (11/3 + 11/3 + 11/3)
  Reassemble as 11 sticks of length 15 like this:
    1 x (11/3 + 17/3 + 17/3)
    2 x (11/3 + 16/3 + 6)
    2 x (11/3 + 5 + 19/3)
    2 x (11/3 + 14/3 + 20/3)
    2 x (11/3 + 13/3 + 7)
    2 x (11/3 + 11/3 + 11/3 + 4)