28 into 22 best min fragment found: 8
  Cut up 28 sticks of length 22 like this:
    8 x (10 + 12)
    20 x (8 + 14)
  Reassemble as 22 sticks of length 28 like this:
    10 x (14 + 14)
    4 x (8 + 10 + 10)
    8 x (8 + 8 + 12)