Put the steps in order for changing the repeating decimal, which is rational, to a ratio or fraction.
0.523523... = what fraction?
(5 points)
1. Let x be the repeating decimal.
2. Multiply both sides of the equation by a power of 10 that moves the decimal point to the right of the repeating part. In this case, multiply both sides by 1000.
3. 1000x = 523.523...
4. Subtract the original equation from the equation obtained in step 3 to eliminate the repeating part.
(1000x - x) = (523.523... - 0.523523...)
5. Simplify the equation obtained in step 4.
999x = 523
6. Divide both sides of the equation by 999 to solve for x.
x = 523/999
7. Simplify the fraction obtained in step 6, if possible.
x = 17/33
Therefore, 0.523523... = 17/33.