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Adding Fractions to Make a Whole Number

Directions: Using the digits 1-9, fill in the blanks to make a whole number sum. Use each digit only at most one time. Can you make all whole numbers from 1 to 9?

Hint

Hint

Are you using equivalent fractions?

Answer

Answer

Number of Unique Solutions: 36
1: 2 / 1 + 6 / 3 = 4
2: 2 / 1 + 9 / 3 = 5
3: 3 / 1 + 8 / 4 = 5
4: 3 / 4 + 2 / 8 = 1
5: 3 / 6 + 2 / 4 = 1
6: 3 / 6 + 7 / 2 = 4
7: 3 / 6 + 9 / 2 = 5
8: 4 / 2 + 3 / 1 = 5
9: 4 / 2 + 5 / 1 = 7
10: 4 / 2 + 6 / 1 = 8
11: 4 / 2 + 7 / 1 = 9
12: 4 / 6 + 3 / 9 = 1
13: 4 / 8 + 3 / 6 = 1
14: 5 / 1 + 6 / 3 = 7
15: 5 / 1 + 8 / 2 = 9
16: 5 / 1 + 8 / 4 = 7
17: 5 / 2 + 4 / 8 = 3
18: 5 / 2 + 9 / 6 = 4
19: 6 / 2 + 4 / 1 = 7
20: 6 / 2 + 5 / 1 = 8
21: 6 / 4 + 7 / 2 = 5
22: 6 / 8 + 5 / 4 = 2
23: 6 / 9 + 4 / 3 = 2
24: 7 / 1 + 6 / 3 = 9
25: 7 / 2 + 9 / 6 = 5
26: 8 / 2 + 3 / 1 = 7
27: 8 / 2 + 9 / 3 = 7
28: 8 / 4 + 6 / 2 = 5
29: 8 / 4 + 7 / 1 = 9
30: 9 / 2 + 4 / 8 = 5
31: 9 / 3 + 4 / 1 = 7
32: 9 / 3 + 4 / 2 = 5
33: 9 / 3 + 5 / 1 = 8
34: 9 / 3 + 8 / 4 = 5
35: 9 / 4 + 6 / 8 = 3
36: 9 / 6 + 4 / 8 = 2

Source: Owen Kaplinsky

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11 comments

  1. Again, no fill in the blanks picture is shown.

  2. I have not been able to find the 1-9 digit cards for the activities. Where can I find them?

  3. kzjhdbdouysegfcjhdbliywecjeiynsdbcvcnsdgdsjd

  4. There’s no six in the answer key

  5. With 9 possible digits to choose from and 5 places to put them, there are 9P5 = 15,120 unique permutations for ways to arrange the numbers. Most of those permutations obviously result in non-integer solutions.

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