28 into 10 best min fragment found: 22/5
  Cut up 28 sticks of length 10 like this:
    4 x (24/5 + 26/5)
    24 x (22/5 + 28/5)
  Reassemble as 10 sticks of length 28 like this:
    4 x (28/5 + 28/5 + 28/5 + 28/5 + 28/5)
    2 x (22/5 + 22/5 + 22/5 + 22/5 + 26/5 + 26/5)
    4 x (22/5 + 22/5 + 22/5 + 22/5 + 24/5 + 28/5)