Directions: Use the digits 1 to 9, at most one time each, to fill in the boxes to make two fractions that have a quotient that is as close to 4/11 as possible.

### Hint

### Hint

How can we figure out how close a fraction is to 4/11?

How can we tell which of two fractions is closer to 4/11?

How can we tell which of two fractions is closer to 4/11?

### Answer

### Answer

The optimal answer is 5/7 ÷ 1/2 (or equivalents like 5/7 ÷ 2/4 or 5/7 ÷ 3/6 or 5/7 ÷ 4/8).

Source: Robert Kaplinsky

5/7 divided by 1/2 is 10/7. Did you mean 7/5 divided by 2/1?

Hey There. I was a bit confused as to why the listed answer was optimal like Hannah above.

One of my students just came up with (4/5) divided by (2/1)=4/10 which is pretty darn close, and definitely closer than 10/7.

Thanks for providing these great problem solving resources!

I think it’s 1/2 ÷ 5/7 because that is approximately 0.357, while 4/11 is 0.36363636…

oops… I mean 1/2 divided gy 7/5