Put the steps in order for changing the repeating decimal, which is rational, to a
ratio or fraction. 0.474747... = what fraction? (5 points)
= 99х = 47
= 100х = 47.474747...
= x = 0.47474747...
= Subtract x = 0.474747...
= x = 47/99
1. Let x = 0.474747...
2. Multiply both sides of the equation by 100 to get rid of the decimal point: 100x = 47.474747...
3. Subtract x from both sides of the equation: 100x - x = 47.474747... - 0.474747...
4. Simplify the equation: 99x = 47
5. Divide both sides of the equation by 99: x = 47/99
So, the fraction equivalent of the repeating decimal 0.474747... is 47/99.