8 into 3: min fragment 4/3   [v1-66-g4e22cc3]
  Cut up 8 sticks of length 3 like this:
    1 x (3)
    7 x (5/3 + 4/3)
  Reassemble as 3 sticks of length 8 like this:
    1 x (3 + 5/3 + 5/3 + 5/3)
    1 x (5/3 + 5/3 + 5/3 + 5/3 + 4/3)
    1 x (4/3 + 4/3 + 4/3 + 4/3 + 4/3 + 4/3)