23 into 7 best min fragment found: 19/6
  Cut up 23 sticks of length 7 like this:
    1 x (7/2 + 7/2)
    2 x (10/3 + 11/3)
    20 x (19/6 + 23/6)
  Reassemble as 7 sticks of length 23 like this:
    3 x (23/6 + 23/6 + 23/6 + 23/6 + 23/6 + 23/6)
    2 x (19/6 + 19/6 + 19/6 + 19/6 + 19/6 + 7/2 + 11/3)
    2 x (19/6 + 19/6 + 19/6 + 19/6 + 19/6 + 10/3 + 23/6)