Directions: Use the digits 1 to 9, at most one time each, to fill in the boxes to create a fraction that is as close to 5/11 as possible.

### Hint

### Hint

How can we measure the difference between two fractions?

### Answer

### Answer

The closest fractions to 5/11 are all equivalent to 1/2 (1/2, 2/4, 3/6, and 4/8). I found this via brute force but I’d love to learn more if someone has a conceptual approach.

Source: Robert Kaplinsky

Isn’t 4/9 closer than 4/8? 5/11 = .4545….45 and 4/9 = .44444…..4444 isn’t that closer than .5? or am I missing something

Yes, you are correct.

I used logic to find a fraction that was a little less than half, my answer is 4/9….. I’d love to hear how the author came up with his answer of all fractions equivalent to 1/2

9 over 22 is equal to 5 over 11

10/22 is equal to 5/11