Open Middle®
Directions: Using the digits 0 to 9, at most one time each, place a digit in each box to create a unit rate with the greatest possible value.
Hint
How will the digits you choose affect whether you can have a single digit numerator in the unit rate?
Answer
The unit rate with the greatest possible value is 9 and can be found multiple ways including 3/1 / 2/6 = 9/1 and 6/2 / 1/3 = 9/1
Source: Robert Kaplinsky
What about (8/2)/(1/9)=36
That was what I was thinking, but there is a box on the right hand side that must also be a digit from 0 to 9.
(9/3)/(6/2)=1/1
(6/2)/(1/3)=9/1 –> This assumes that the 1 in the denominator on the right does not exclude the use of 1 in a box on the left. Could this question be extended to “How many different, true statements can you create, given the same conditions?”
We can provide another hint – by converting to a multiplication of two fractions.
Yes
8/3 ÷ 2/3 = 4/1