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

How can we measure the difference between two fractions?

### Answer

Constance Wood found the closest fraction to 5/11, which is 4/9. I had previously thought it was 1/2 (and equivalent fractions) but was wrong!

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.

Thanks Constance. I’ll change the answer and give you credit for finding it. I can’t remember why I thought it was 1/2.

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

The author came up with 1/2 because he was wrong. 😛

9 over 22 is equal to 5 over 11

10/22 is equal to 5/11

Yes, but you’re only supposed to use digits 1 – 9.

162/357 =0.454 (rounded)

or do I need to use all the numbers?

6259/13784 = 0.454 (rounded)

The answer could be 3/9