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Adding Three Fractions

Directions: Using each of the digits from 0-9 only once, fill in the boxes to make the equation true.

Hint

Hint

Do all fractions have smaller numerators than denominators?

Answer

Answer

Number of Unique Solutions: 83
1: 0 / 2 + 7 / 8 + 3 / 4 = 91 / 56
2: 0 / 4 + 8 / 3 + 2 / 6 = 57 / 19
3: 0 / 4 + 9 / 2 + 3 / 6 = 85 / 17
4: 0 / 5 + 1 / 8 + 9 / 4 = 76 / 32
5: 0 / 5 + 9 / 2 + 6 / 4 = 78 / 13
6: 0 / 6 + 7 / 3 + 1 / 8 = 59 / 24
7: 0 / 7 + 3 / 2 + 1 / 4 = 98 / 56
8: 0 / 7 + 5 / 6 + 4 / 9 = 23 / 18
9: 0 / 8 + 1 / 3 + 5 / 9 = 64 / 72
10: 0 / 8 + 1 / 6 + 3 / 9 = 27 / 54
11: 0 / 8 + 3 / 6 + 9 / 7 = 25 / 14
12: 1 / 2 + 0 / 5 + 6 / 4 = 78 / 39
13: 1 / 2 + 0 / 8 + 3 / 4 = 95 / 76
14: 1 / 2 + 3 / 6 + 7 / 9 = 80 / 45
15: 1 / 3 + 0 / 5 + 9 / 7 = 68 / 42
16: 1 / 3 + 5 / 6 + 0 / 9 = 84 / 72
17: 1 / 3 + 6 / 9 + 7 / 5 = 48 / 20
18: 1 / 6 + 2 / 4 + 0 / 9 = 38 / 57
19: 1 / 6 + 4 / 3 + 0 / 9 = 78 / 52
20: 1 / 8 + 9 / 3 + 0 / 6 = 75 / 24
21: 2 / 5 + 4 / 6 + 1 / 3 = 98 / 70
22: 2 / 8 + 1 / 5 + 3 / 9 = 47 / 60
23: 2 / 8 + 6 / 5 + 9 / 4 = 37 / 10
24: 2 / 8 + 9 / 6 + 7 / 1 = 35 / 4
25: 3 / 1 + 8 / 4 + 9 / 2 = 57 / 6
26: 3 / 2 + 0 / 6 + 1 / 9 = 87 / 54
27: 3 / 2 + 5 / 8 + 9 / 4 = 70 / 16
28: 3 / 4 + 9 / 8 + 5 / 2 = 70 / 16
29: 3 / 6 + 1 / 8 + 0 / 9 = 45 / 72
30: 3 / 6 + 9 / 1 + 5 / 2 = 84 / 7
31: 3 / 8 + 1 / 2 + 0 / 7 = 49 / 56
32: 3 / 9 + 0 / 2 + 7 / 6 = 81 / 54
33: 3 / 9 + 0 / 7 + 2 / 6 = 54 / 81
34: 4 / 1 + 6 / 2 + 5 / 3 = 78 / 9
35: 4 / 1 + 9 / 3 + 5 / 2 = 76 / 8
36: 4 / 2 + 3 / 1 + 8 / 6 = 57 / 9
37: 4 / 2 + 6 / 1 + 5 / 3 = 87 / 9
38: 4 / 2 + 9 / 3 + 0 / 6 = 85 / 17
39: 4 / 3 + 5 / 2 + 7 / 6 = 90 / 18
40: 4 / 5 + 8 / 6 + 1 / 2 = 79 / 30
41: 4 / 7 + 1 / 8 + 0 / 2 = 39 / 56
42: 4 / 8 + 0 / 9 + 7 / 6 = 35 / 21
43: 4 / 8 + 7 / 2 + 6 / 3 = 90 / 15
44: 4 / 8 + 9 / 2 + 0 / 7 = 65 / 13
45: 5 / 1 + 2 / 3 + 8 / 6 = 49 / 7
46: 5 / 3 + 0 / 7 + 6 / 9 = 42 / 18
47: 5 / 4 + 1 / 7 + 0 / 6 = 39 / 28
48: 5 / 4 + 9 / 8 + 0 / 1 = 76 / 32
49: 5 / 6 + 3 / 2 + 7 / 1 = 84 / 9
50: 5 / 6 + 3 / 9 + 0 / 1 = 84 / 72
51: 5 / 6 + 7 / 2 + 8 / 4 = 19 / 3
52: 5 / 6 + 9 / 4 + 0 / 8 = 37 / 12
53: 5 / 8 + 1 / 4 + 0 / 9 = 63 / 72
54: 5 / 9 + 6 / 4 + 0 / 2 = 37 / 18
55: 6 / 3 + 5 / 4 + 0 / 7 = 91 / 28
56: 6 / 4 + 0 / 8 + 3 / 2 = 57 / 19
57: 6 / 4 + 9 / 5 + 8 / 2 = 73 / 10
58: 6 / 8 + 9 / 4 + 2 / 1 = 35 / 7
59: 6 / 9 + 0 / 2 + 7 / 3 = 54 / 18
60: 7 / 2 + 1 / 6 + 5 / 3 = 48 / 9
61: 7 / 2 + 6 / 4 + 3 / 9 = 80 / 15
62: 7 / 2 + 8 / 4 + 3 / 6 = 90 / 15
63: 7 / 2 + 9 / 1 + 6 / 8 = 53 / 4
64: 7 / 4 + 3 / 6 + 9 / 5 = 81 / 20
65: 7 / 4 + 5 / 1 + 2 / 8 = 63 / 9
66: 7 / 4 + 9 / 6 + 2 / 8 = 35 / 10
67: 7 / 5 + 3 / 4 + 6 / 8 = 29 / 10
68: 8 / 2 + 7 / 1 + 9 / 3 = 56 / 4
69: 8 / 4 + 9 / 1 + 3 / 2 = 75 / 6
70: 8 / 6 + 5 / 7 + 0 / 9 = 43 / 21
71: 8 / 6 + 7 / 3 + 4 / 2 = 51 / 9
72: 9 / 1 + 7 / 2 + 6 / 3 = 58 / 4
73: 9 / 2 + 3 / 6 + 5 / 7 = 80 / 14
74: 9 / 2 + 4 / 8 + 3 / 1 = 56 / 7
75: 9 / 3 + 0 / 7 + 6 / 8 = 45 / 12
76: 9 / 3 + 7 / 2 + 8 / 4 = 51 / 6
77: 9 / 3 + 8 / 4 + 5 / 6 = 70 / 12
78: 9 / 6 + 0 / 5 + 3 / 7 = 81 / 42
79: 9 / 6 + 1 / 2 + 4 / 8 = 75 / 30
80: 9 / 6 + 1 / 4 + 2 / 8 = 70 / 35
81: 9 / 6 + 3 / 2 + 0 / 7 = 54 / 18
82: 9 / 6 + 3 / 7 + 0 / 1 = 54 / 28
83: 9 / 8 + 6 / 3 + 0 / 1 = 75 / 24

Source: Denise White

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