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)

Answer 1

[AI-generated answer — Bot GPT 3.5]

1. Let x = the repeating decimal (0.474747...)

2. Multiply both sides by 100 to move the decimal point two places to the right: 100x = 47.474747...
3. Subtract x from both sides: 100x - x = 47.474747... - 0.474747...
4. Simplify the right side: 99x = 47
5. Divide both sides by 99 to isolate x: x = 47/99
6. Therefore, 0.474747... is equal to the fraction 47/99.