For the 2-fractions puzzle, the unique result (up to symmetry) is:
8 9
-- + -- == 1
26 13
Similarly, the 3-fractions puzzle has a unique result up to symmetry:
5 7 9
-- + -- + -- == 1
34 68 12
Some of the many solutions to the 4-fractions puzzle are:
1 3 8 9
-- + -- + -- + -- == 1
24 56 14 27
1 5 7 8
-- + -- + -- + -- == 1
39 26 42 13
1 3 6 9
-- + -- + -- + -- == 1
52 78 24 13
Some of the many solutions to the 5-fractions puzzle are:
1 5 8 9 9
-- + -- + -- + -- + -- == 1
12 45 36 27 36
1 6 7 8 9
-- + -- + -- + -- + -- == 1
12 45 35 24 36
1 7 8 9 9
-- + -- + -- + -- + -- == 1
12 56 48 24 36
Some of the many solutions to the 6-fractions puzzle are:
1 2 4 5 8 9
-- + -- + -- + -- + -- + -- == 1
12 33 45 77 68 69
1 2 4 5 7 8
-- + -- + -- + -- + -- + -- == 1
12 33 45 78 69 69
1 2 5 5 6 6
-- + -- + -- + -- + -- + -- == 1
12 33 49 79 78 84