Put the steps in order for changing the repeating decimal, which is rational, to a ratio or fraction. 0.474747... = what fraction? (5 points)
(Put these numbers in order)
99x = 47
Subtract x = 0.474747...
100x = 47.474747...
x = 0.47474747...
x = 47/99
1. 99x = 47
2. Subtract x = 0.474747...
3. 100x = 47.474747...
4. x = 0.47474747...
5. x = 47/99
Are you sure?
I apologize for the mistake. You are right, the steps should be rearranged. Here are the correct steps for changing the repeating decimal 0.474747... to a fraction:
1. Let x = 0.474747...
2. Multiply both sides of the equation by 100 to eliminate the decimal: 100x = 47.474747...
3. Subtract the original equation from the multiplied equation 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
So, the fraction equivalent of the repeating decimal 0.474747... is 47/99.