Directions: Using the digits 0 to 9, no more than one time each, to fill in the boxes to decompose 1 1/10.

### Hint

### Hint

Where do you think you could use the 0?

### Answer

### Answer

2/10 + 3/10 + 5/10 + 10/100

1/10 + 3/10 + 5/10 + 20/100

1/10 + 2/10 + 5/10 + 30/100

1/10 + 2/10 + 3/10 + 50/100

1/10 + 3/10 + 5/10 + 20/100

1/10 + 2/10 + 5/10 + 30/100

1/10 + 2/10 + 3/10 + 50/100

Source: Christine Jenkins

3/10+3/10+3/10+40/100=1 1/10

You can’t do that because you can only use each number 0 – 9 once.

Another way of thinking about this problem is: What 4 unique natural numbers add to 11? There is only one solution: 1, 2, 3, 5. Because of this, I feel like the problem doesn’t really belong on Open Middle. However, perhaps I am wrong. I wonder how the problem could be tweaked to make it more open-ended.