There are 5 steps to convert a repeating decimal to fraction. And these are the following steps: Step 1: Let x be the repeating decimal you are converting to a fraction. [x = 0.555555555] Step 2: Look for the repeating digit(s). [the repeating digit is 5] Step 3: Place the repeating digit(s) to the left of the decimal point [move the decimal point 1 place to the right, moving is the same as multiplying the decimal number by 10 so it will become, 10x = 5.555555555] Step 4: Place the repeating digit(s) to the right of the decimal point [x = 0.5555555555] Step 5: Subtract the left sides of the two equations.Then, deduct the right sides of the two equations.[Your two equations are: 10x = 5.555555555 x = 0.5555555555 10x - x = 5.555555555 − 0.555555555555 9x = 5 x = 5/9]