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National and Regional Contests
Mexico Contests
Mexico National Olympiad
1990 Mexico National Olympiad
4
0/1 + 1/1 + 0/2 + 1/2 + 2/2 + 0/3 + 1/3 + 2/3 + 3/3 + ...+5/6 + 6/6
0/1 + 1/1 + 0/2 + 1/2 + 2/2 + 0/3 + 1/3 + 2/3 + 3/3 + ...+5/6 + 6/6
Source: Mexican Mathematical Olympiad 1990 OMM P4
July 29, 2018
algebra
Sum
Problem Statement
Find
0
/
1
+
1
/
1
+
0
/
2
+
1
/
2
+
2
/
2
+
0
/
3
+
1
/
3
+
2
/
3
+
3
/
3
+
0
/
4
+
1
/
4
+
2
/
4
+
3
/
4
+
4
/
4
+
0
/
5
+
1
/
5
+
2
/
5
+
3
/
5
+
4
/
5
+
5
/
5
+
0
/
6
+
1
/
6
+
2
/
6
+
3
/
6
+
4
/
6
+
5
/
6
+
6
/
6
0/1 + 1/1 + 0/2 + 1/2 + 2/2 + 0/3 + 1/3 + 2/3 + 3/3 + 0/4 + 1/4 + 2/4 + 3/4 + 4/4 + 0/5 + 1/5 + 2/5 + 3/5 + 4/5 + 5/5 + 0/6 + 1/6 + 2/6 + 3/6 + 4/6 + 5/6 + 6/6
0/1
+
1/1
+
0/2
+
1/2
+
2/2
+
0/3
+
1/3
+
2/3
+
3/3
+
0/4
+
1/4
+
2/4
+
3/4
+
4/4
+
0/5
+
1/5
+
2/5
+
3/5
+
4/5
+
5/5
+
0/6
+
1/6
+
2/6
+
3/6
+
4/6
+
5/6
+
6/6
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