24 into 22 best min fragment found: 8
  Cut up 24 sticks of length 22 like this:
    12 x (10 + 12)
    12 x (8 + 14)
  Reassemble as 22 sticks of length 24 like this:
    6 x (12 + 12)
    12 x (10 + 14)
    4 x (8 + 8 + 8)