Open Middle®
Directions: Using the integers 1 to 10 at most one time each, fill in the boxes so that the result is closest to 1.
Hint
What does closest to 1 mean? What does this tell you about the fraction in the numerator and the fraction in the denominator?
Answer
There are several answers that will give a result of 1, such as ((4/9)^5)/((2/3)^10).
If we are looking for an answer that is closest but not equal to 1, I’m not sure what the answer is!
Source: Daniel Luevanos
I tried to form fractions that simplify to whole numbers. So I was successful with:
(10/5)^6 / (8/1)^2
This simplified to 2^6 / 8^2
Found ((1/4)^3)/((5/10)^6) = 1! with a difference of 0. Woohoo!
( (2 / 8) ^ 3 ) / ( (5 / 10) ^ 6 ) = 1!
(2/1^2) / (3/2^1) = 2 2/3
This is my first time but ((4/9 “5) /((2/3)’10
(3/5)^1 / (7/9)^2