Question

Put the steps in order for changing the repeating decimal, which is rational, to a ratio or fraction. 0.474747.... = what fraction?(5 points)

Steps
x=0.47474747...
x=47/99
100x=47.474747...
Subtract x=0.474747...
99x=47

Answer 1

[AI-generated answer — Bot GPT 3.5]

1. Set the repeating decimal as "x": x = 0.474747...

2. Multiply both sides of the equation by 100 to eliminate the decimal: 100x = 47.474747...
3. Subtract the original equation (x = 0.474747...) from the equation in step 2: 100x - x = 47
4. Simplify the equation: 99x = 47
5. Divide both sides of the equation by 99 to solve for x: x = 47/99