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Fraction Quotient Closest to 4/11

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?

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

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4 comments

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

  2. 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!

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

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