Put the steps in order for changing the repeating decimal, which is rational, to a ratio or fraction.
0.523523...= whatfractio * n'
(5 points)
Let x = 0.523523
1000x = 523.523523
Subtract 1x = 0.523523 ....
999x = 523
x = 523/999
1. Let x equal the repeating decimal (0.523523...)
2. Multiply x by a power of 10 that is equal to the number of repeating digits. In this case, 1000x = 523.523523...
3. Set up an equation by subtracting x from the product of step 2. In this case, 1000x - x = 523.523523... - 0.523523...
4. Solve for x by simplifying the equation. In this case, 999x = 523.
5. Divide both sides of the equation by 999 to isolate x and express it as a fraction. In this case, x = 523/999. Therefore, the fraction representation of the repeating decimal 0.523523... is 523/999.