Open Middle®
Directions: Using the digits 0 to 9, at most one time each, place a digit in each box to make the equation true.
Hint
Do all fractions have smaller numerators than denominators?
Answer
There are 83 unique solutions. Three examples are:
1: 0/2 + 7/8 + 3/4 = 91/56
2: 0/4 + 8/3 + 2/6 = 57/19
3: 0/4 + 9/2 + 3/6 = 85/17
1: 0/2 + 7/8 + 3/4 = 91/56
2: 0/4 + 8/3 + 2/6 = 57/19
3: 0/4 + 9/2 + 3/6 = 85/17
Source: Denise White
1/2+8/6+4/5=79/30
thank you, daisy!
what 3 fraction’s make 8 ???????
Is there more than one answer to this one? Otherwise its not really open middle…. My class can’t find another one.
Hi Stephanie, under the “Answer” dropdown you can view the found answers for this problem. Additionally, “open middle” refers to the process in which students might find the answer to an Open Middle Problem, which there are many. Numerous Open Middle problems are closed ended, where they have a quite limited amount of possible answers, or one.