Put the steps in order for changing the repeating decimal, which is rational, to a ratio or fraction
0.523523. = what fraction?
(5 points)
Subtract 1x = 0.523523...
= Let x = 0.523523....
= 999X= 523
= 1000x = 523.523523
=
X=
523
999
1. Let x = 0.523523...
2. Multiply both sides of the equation by 1000 to eliminate the repeating decimal: 1000x = 523.523523...
3. Subtract x from both sides of the equation: 999x = 523.523523... - 0.523523...
4. Simplify the right side of the equation: 999x = 523
5. Divide both sides of the equation by 999: x = 523/999
6. Therefore, the fraction equivalent to 0.523523... is 523/999.