This puzzler has many solutions and is part of the Open Middle collection of problems. These questions stretch student thinking as they offer multiple solutions and are not PhotoMathable.

Place a digit in each box to make a true statement.

You can use 1 to 9 but only one time each.

How many solutions can you find?

(please do not use a calculator)

It seems that there are 10 solutions:

3/15 = 0.2

7/35 = 0.2

9/45 = 0.2

6/15 = 0.4

6/12 = 0.5

7/14 = 0.5

8/16 = 0.5

9/18 = 0.5

9/15 = 0.6

Here were the hints:

How does choosing the digits for the denominator affect the decimal value?

How might choosing the digit for the decimal make finding the digits for the fraction easier?

Converting a Fraction to a Decimal