28 into 11 best min fragment found: 14/3
  Cut up 28 sticks of length 11 like this:
    2 x (148/27 + 149/27)
    2 x (140/27 + 157/27)
    2 x (139/27 + 158/27)
    2 x (131/27 + 166/27)
    2 x (130/27 + 167/27)
    18 x (14/3 + 19/3)
  Reassemble as 11 sticks of length 28 like this:
    2 x (14/3 + 140/27 + 148/27 + 19/3 + 19/3)
    2 x (14/3 + 139/27 + 149/27 + 19/3 + 19/3)
    2 x (14/3 + 131/27 + 157/27 + 19/3 + 19/3)
    2 x (14/3 + 130/27 + 158/27 + 19/3 + 19/3)
    2 x (14/3 + 14/3 + 166/27 + 167/27 + 19/3)
    1 x (14/3 + 14/3 + 14/3 + 14/3 + 14/3 + 14/3)