Put the steps in order for changing the repeating decimal, which is rational, to a ratio or fraction. 0.474747.... = what fraction? (5 points)
x = 47/99
99x = 47
= 100x = 47.474747...
= Subtract x = 0.474747...
x = 0.47474747...
1. x = 47/99
2. 99x = 47
3. Multiply both sides by 100 to eliminate the repeating decimal: 100x = 47.474747...
4. Subtract x from both sides: 100x - x = 47.474747... - 0.474747...
5. Simplify: x = 0.47474747...
Put them in order to solve 0.474747
1. Recognize that the decimal 0.474747... is a repeating decimal.
2. Let x represent the repeating decimal, so x = 0.474747...
3. Multiply both sides of the equation by 100 to move the decimal two places to the right: 100x = 47.474747...
4. Subtract x from both sides: 100x - x = 47.474747... - 0.474747...
5. Simplify: 99x = 47
6. Divide both sides by 99 to solve for x: x = 47/99