Open Middle®
Directions: Using the digits 0 through 9 at most one time, place a digit in each box to make a true equation.
Hint
How can you make sure that your product is a mixed number?
Are there some two-digit numbers that don’t divide equally into groups?
How can you rename fractions so that you don’t use the same digit more than once?
Are there some two-digit numbers that don’t divide equally into groups?
How can you rename fractions so that you don’t use the same digit more than once?
Answer
There are multiple solutions. One is 2/4 x 17 = 8 3/6.
Source: Ellen Metzger
Wow. This took me a while… 8 tries. But very satisfying.
2/4 x 15 = 7 3/6
3/4 x 09 = 6 3/4
1/3 x 08 = 2 6/9
If zero cannot be used to start the two-digit number:
1/4 x 23 = 5 6/8
1/8 *60=7 2/4
5/6 x10= 8 3/9
1/8 x 76 = 9 2/4
2/8 x 37=9 1/4
If zero can be used to start the two-digit number:
5/6 x 09 = 7 4/8
5/6 x 09 = 7 1/2
2/4 x 05= 7 and 3/6
3/8 x 06 = 2 1/4
4/3 x 07 = 9 2/6
1/2 x 07 = 3 4/8
5/4 x 06=7 1/2
3/4 x 07 = 5 2/8
6/8 x 07 = 5 1/4