Open Middle®
Directions: Using the digits 0 to 9, at most one time each, place a digit in each box so that the sum is equal to 2 wholes.
Hint
What fractions are greater than 1 whole?
What manipulatives could help you find a solution?
What manipulatives could help you find a solution?
Answer
There are many answers including:
9/6 + 1/4 + 5/20
6/5 + 4/8 + 3/10
4/5 + 6/8 + 9/20
Source: Joshua Nelson
36 solutions (times 2 if you consider swapping the first two addends as a different solution):
1/2 + 5/4 + 9/36
1/2 + 8/6 + 9/54
1/3 + 8/6 + 9/27
1/3 + 9/6 + 7/42
1/4 + 5/3 + 6/72
1/4 + 5/3 + 8/96
1/4 + 9/6 + 7/28
1/4 + 9/6 + 8/32
1/6 + 5/3 + 7/42
1/7 + 5/3 + 8/42
1/9 + 5/3 + 6/27
1/9 + 7/4 + 5/36
2/3 + 5/4 + 8/96
2/3 + 5/6 + 7/14
2/3 + 5/6 + 9/18
2/3 + 7/6 + 9/54
2/7 + 9/6 + 3/14
2/9 + 6/4 + 5/18
2/9 + 7/4 + 1/36
3/4 + 6/9 + 7/12
3/4 + 9/8 + 2/16
3/4 + 9/8 + 7/56
3/6 + 5/4 + 7/28
3/6 + 8/7 + 5/14
3/7 + 5/4 + 9/28
3/7 + 8/6 + 5/21
3/8 + 6/4 + 9/72
3/9 + 8/6 + 4/12
3/9 + 8/6 + 7/21
4/3 + 5/9 + 2/18
4/3 + 5/9 + 8/72
5/6 + 8/7 + 1/42
5/6 + 9/8 + 1/24
5/6 + 9/8 + 3/72
5/9 + 8/6 + 3/27
6/9 + 8/7 + 4/21