Fractions – 6
THE CHALLENGE
Use the numbers 1 to 9 at most once each to fill in these boxes. How many solutions can you find?
EXPLORATION
Are there any single-digit values for the right side of the equation that are impossible?
Notes
+
-
THE CHALLENGE
Some trial an error with compatible denominators produces this list:
- 2/4 + 3/6 = 1
- 3/4 + 2/8 = 1
- 3/6 + 4/8 = 1
- 4/6 + 3/9 = 1
- 4/3 + 6/9 = 2
- 5/4 + 6/8 = 2
- 9/6 + 4/8 = 2
- 5/2 + 4/8 = 3
- 9/4 + 6/8 = 3
- 2/1 + 6/3 = 4
- 5/2 + 9/6 = 4
- 7/2 + 3/6 = 4
- 2/1 + 9/3 = 5
- 3/1 + 4/2 = 5
- 3/1 + 8/4 = 5
- 4/2 + 9/3 = 5
- 6/2 + 8/4 = 5
- 7/2 + 6/4 = 5
- 7/2 + 9/6 = 5
- 9/2 + 3/6 = 5
- 9/2 + 4/8 = 5
- 9/3 + 8/4 = 5
- 3/1 + 8/2 = 7
- 4/1 + 6/2 = 7
- 4/1 + 9/3 = 7
- 5/1 + 6/3 = 7
- 5/1 + 4/2 = 7
- 5/1 + 8/4 = 7
- 9/3 + 8/2 = 7
- 5/1 + 6/2 = 8
- 5/1 + 9/3 = 8
- 6/1 + 4/2 = 8
- 5/1 + 8/2 = 9
- 7/1 + 4/2 = 9
- 7/1 + 6/3 = 9
- 7/1 + 8/4 = 9
EXPLORATION
6 has no solutions.