Put the steps in order for changing the repeating decimal, which is rational, to a ratio or fraction. 0.474747.... = what fraction?
= x = 0.47474747...
= x = 47/99
= x = subtract x = 0.474747...
= 99x = 47
= 100x = 47.474747...
1. Set the repeating decimal as x, such as x = 0.474747...
2. Multiply both sides of the equation by 100 to eliminate the decimal point, giving 100x = 47.474747...
3. Subtract x from both sides of the equation, resulting in 99x = 47.
4. Convert the equation into a fraction by writing the numerator as the decimal without the repeating part (47) and the denominator as the number of repeating digits (99), giving x = 47/99.