 # Converting Fractions to Repeating Decimals

Directions: Using the digits 0 to 9, at most one time each, fill in the boxes so that the fraction equals the repeating decimal. ### Hint

What does a repeating decimal mean?

There are many possible answers that could work such as

16/48=0.3 (3 is repeated)

84/27=3.1 (1 is repeated)

38/09=4.2 (2 is repeated)

49/63=0.7 (7 is repeated)

68/09=7.5 (5 is repeated)

48/72=0.6 (6 is repeated)

Source: Daniel Luevanos

## Two Step Inequality with Fractional Coeffcient

Directions: Using the digits 1 to 7 at most one time each, place a digit …

1. 38/09 = 4.2 repeating

2. 49/63 = 0.7 repeating

• 68/09 = 7.5 repeating

• 48/72 = .6 repeating

• These are all great solutions thanks Phil. I have added them to the answers section of the problem

3. 11/12=0.916 repeating

4. How about 56/28 = 1.9repeating

My class and I just had fun proving why 0.9 repeating =1, so this would be a fun way to connect with that.

5. How about 56/28 = 1.9repeating?

My class and I just had fun proving why 0.9 repeating =1, so this would be a fun way to connect with that.

6. 13/09 = 1.4 repeating