1. Converting Repeating Decimals to Fractions
Repeating Decimals Type 1

2. Steps to Convert 1. Set the decimal equal to a variable
Converting Repeating Decimals to Fractions
1. Set the decimal equal to a variable
2. Find the position where the repetition ends, and multiply the equation by that number
3. Create a subtraction problem
4. Solve for the variable

3. Example 1 Question 2 on your practice sheet: .3333333… .3333333… = x
Step 1
… = 10x
Step 2

4. Example 1 Question 2 on your practice sheet: .3333333…
Step 1
Step 2
3 = 9x 1
Step 3 9
= x 3
Step 4

5. Example 2 Question 5 on your practice sheet: .252525…
Step 1
… = x
Step 2
25 = 99x 25
Step 3 99
= x 99 99
Step 4

6. Example 3 Question 7 on your practice sheet: .456456…
Step 1
… = x
Step 2
456= 999x
152
Step 3
999
= x
999
333
Step 4

7. Example 4 Question 9 on your practice sheet: .12341234…
Step 1
.1234… = x
Step 2
1234 = 9999x
1234
Step 3
9999
9999
= x
9999
Step 4