28 into 15 best min fragment found: 17/3
  Cut up 28 sticks of length 15 like this:
    1 x (67/9 + 68/9)
    1 x (22/3 + 23/3)
    1 x (65/9 + 70/9)
    1 x (64/9 + 71/9)
    1 x (62/9 + 73/9)
    1 x (61/9 + 74/9)
    1 x (56/9 + 79/9)
    1 x (55/9 + 80/9)
    1 x (6 + 9)
    1 x (53/9 + 82/9)
    1 x (52/9 + 83/9)
    17 x (17/3 + 28/3)
  Reassemble as 15 sticks of length 28 like this:
    4 x (28/3 + 28/3 + 28/3)
    1 x (17/3 + 56/9 + 61/9 + 28/3)
    1 x (17/3 + 55/9 + 62/9 + 28/3)
    1 x (17/3 + 6 + 73/9 + 74/9)
    1 x (17/3 + 53/9 + 64/9 + 28/3)
    1 x (17/3 + 52/9 + 65/9 + 28/3)
    1 x (17/3 + 17/3 + 71/9 + 79/9)
    1 x (17/3 + 17/3 + 70/9 + 80/9)
    1 x (17/3 + 17/3 + 23/3 + 9)
    1 x (17/3 + 17/3 + 68/9 + 82/9)
    1 x (17/3 + 17/3 + 67/9 + 83/9)
    1 x (17/3 + 17/3 + 22/3 + 28/3)