Open Middle®
Directions: Using the integers 1 to 10, at most one time each, place an integer in each box 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?
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