18 into 5 best min fragment found: 9/4
  Cut up 18 sticks of length 5 like this:
    2 x (5/2 + 5/2)
    16 x (9/4 + 11/4)
  Reassemble as 5 sticks of length 18 like this:
    4 x (9/4 + 9/4 + 5/2 + 11/4 + 11/4 + 11/4 + 11/4)
    1 x (9/4 + 9/4 + 9/4 + 9/4 + 9/4 + 9/4 + 9/4 + 9/4)