In how many different ways can 2/15 be represented as 1/a + 1/b + 1/c, if a and b and c are positive integers with a >= b >= c.
There are this many ways:
a b c
1 = 180 60 9
2 = 126 70 9
3 = 120 72 9
4 = 90 90 9
5 = 180 36 10
6 = 130 39 10
7 = 120 40 10
8 = 105 42 10
9 = 90 45 10
10 = 80 48 10
11 = 75 50 10
12 = 66 55 10
13 = 60 60 10
14 = 110 30 11
15 = 120 24 12
16 = 100 25 12
17 = 70 28 12
18 = 60 30 12
19 = 45 36 12
20 = 40 40 12
21 = 156 20 13
22 = 84 20 14
23 = 70 21 14
24 = 35 30 14
25 = 90 18 15
26 = 60 20 15
27 = 40 24 15
28 = 30 30 15
29 = 120 16 16
30 = 48 20 16
31 = 45 18 18
32 = 36 20 18
33 = 30 20 20
34 = 28 21 20
35 = 24 24 20
