26 into 15 best min fragment found: 37/6
  Cut up 26 sticks of length 15 like this:
    2 x (15/2 + 15/2)
    5 x (20/3 + 25/3)
    1 x (53/8 + 67/8)
    1 x (157/24 + 203/24)
    1 x (155/24 + 205/24)
    1 x (51/8 + 69/8)
    1 x (151/24 + 209/24)
    1 x (149/24 + 211/24)
    13 x (37/6 + 53/6)
  Reassemble as 15 sticks of length 26 like this:
    1 x (205/24 + 69/8 + 53/6)
    1 x (203/24 + 209/24 + 53/6)
    1 x (67/8 + 211/24 + 53/6)
    5 x (25/3 + 53/6 + 53/6)
    1 x (151/24 + 51/8 + 20/3 + 20/3)
    1 x (149/24 + 155/24 + 20/3 + 20/3)
    1 x (37/6 + 157/24 + 53/8 + 20/3)
    4 x (37/6 + 37/6 + 37/6 + 15/2)