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# Fractions

0
191
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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.

May 18, 2022

#1
+1

1  = (450, 50, 9)
2  = (270, 54, 9)
3  = (180, 60, 9)
4  = (126, 70, 9)
5  = (120, 72, 9)
6  = (90, 90, 9)
7  = (480, 32, 10)
8  = (330, 33, 10)
9  = (255, 34, 10)
10  = (210, 35, 10)
11  = (180, 36, 10)
12  = (130, 39, 10)
13  = (120, 40, 10)
14  = (105, 42, 10)
15  = (90, 45, 10)
16  = (80, 48, 10)
17  = (75, 50, 10)
18  = (66, 55, 10)
19  = (60, 60, 10)
20  = (110, 30, 11)
21  = (420, 21, 12)
22  = (220, 22, 12)
23  = (120, 24, 12)
24  = (100, 25, 12)
25  = (70, 28, 12)
26  = (60, 30, 12)
27  = (45, 36, 12)
28  = (40, 40, 12)
29  = (156, 20, 13)
30  = (84, 20, 14)
31  = (70, 21, 14)
32  = (35, 30, 14)
33  = (240, 16, 15)
34  = (90, 18, 15)
35  = (60, 20, 15)
36  = (40, 24, 15)
37  = (30, 30, 15)
38  = (120, 16, 16)
39  = (48, 20, 16)
40  = (45, 18, 18)
41  = (36, 20, 18)
42  = (30, 20, 20)
43  = (28, 21, 20)
44  = (24, 24, 20)

May 18, 2022