Open Middle®
Directions: Using the digits 1 to 9 at most once each time, fill the boxes to make the greatest possible product.
Hint
What denominators can you use that will make a one-digit denominator?
Answer
Once answer is 9/4 * 7/3 = 5 2/8.
Source: Marc DeArmond
my problem was 8/5 x 6/4= 2 2/5. I know my numbers repeat and we have to find a way to not repeat a number but i got stuck and couldn’t think of another answer. My strategy was to use the answer given to help and then take one away from 9 making it an 8 and putting it over the 4 and taking one away from the 7 and putting it over the 3 and trying that. My strategy didn’t work. This was a really hard puzzle.
I had 6/2 x 3/1 = 9. I got this by finding a number that times by something would be under ten. I first got 6/2 and that got me 3. Then i got 3 from 3/1. Lastly i multiplied 3 by 3 and got 9. I agree it was a challenging puzzle.
I got 9/4×7/3=5 2/8
I got 9/4 x 7/3 = 5 2/8
I got this 9/4×7/3=5 2/8
good its great site
right
I got 9/4times 7/3=5 2/8
For my answer to that question I got 9/4 x 7/3 = 5 2/8. I got that by trying to make a very high number with the digits multiple times. At last I got one that when simplified, not all the way had no repeating digits.
I got 9/4 x 7/3 to equal 5 2/8. I got it by multiplying multiple ways over and over and once I got to 9/4 x 7/3, I realized 9×7= 63, 3×4=12, and 63/12= 5 3/12= 5 1/4= 5 2/8.
9 1/3
i did 9/1 x 8/2= 36
5 2/8
I got 9/4 x 7/3 equals 1 2/8
I got 9/4 * 7/3 = 5 2/8 because this is the highest umber you will get while using numbers 1-9 once.
9/1 x 9/1 = 81/1
I meant : 9/1 x 8/2 = 144/2 = 72
I got 5 1/4
i got 5 2/8
I got 5 1/4 which changed to 5 2/8 to not repeat a number.
didnt mean to right this one
4 1/2 x 2/3= 9/2×2/3=18/3=3
9/4 X 7/3=63/12 =5 3/12
5 2/8
I got 3 1/6 and I had the numbers 2 &7 left over
9 1/3
I did 4/3 x 5/6 which is 7 1/2
I got 9/4 x 7/3 which equals 5 2/8.
Same!
2/3 * 3/4 = 1 5/12
2/4 * 3/5 = 1 2/20
I did 7/3 *4/1=9 2/6
Nice math work!
4/1 * 7/3 = 9 2/6
I had a student give me 6/4 * 7/1= 9 3/2
I made 2\4*1\3=5\6
One of my students got 9/2 X 5/3 = 42/6= 7 and 3/6 which he replaced with 7 and 4/8 to avoid repeated digit but 3/6 is still equal to 4/8.
5/1 x 3/2 = 7 4/8
4/1 X 8/4 (or, 4 X 2) is 8 and 0/5
A student of mine did 3/1 x 5/2 = 7 4/8. Higher than anything I’ve seen!
I got 7/6 * 8/4 = 2 1/3. I don’t see that anywhere in this list, but it seems to fit the requirements.