28 into 16 best min fragment found: 20/3
  Cut up 28 sticks of length 16 like this:
    4 x (8 + 8)
    24 x (20/3 + 28/3)
  Reassemble as 16 sticks of length 28 like this:
    8 x (28/3 + 28/3 + 28/3)
    8 x (20/3 + 20/3 + 20/3 + 8)