Put the steps in order for changing the repeating decimal, which is rational, to a ratio or
fraction. 0.474747... = what fraction?
1. Let x represent the repeating decimal: x = 0.474747...
2. Multiply x by a power of 10 to eliminate the repeating part. In this case, multiply x by 100: 100x = 47.474747...
3. Subtract the original equation from the equation obtained in step 2 to eliminate the repeating part: 100x - x = 47.474747... - 0.474747...
Simplifying, we get: 99x = 47
4. Divide both sides of the equation by 99 to solve for x: x = 47/99
5. Therefore, the fraction representation of the repeating decimal 0.474747... is 47/99.