Put the steps in order for changing the repeating decimal, which is rational, to a ratio or fraction. 0.474747.... = what fraction?(5 points)
1. Let x be the repeating decimal.
2. Multiply both sides of the equation by a power of 10 to shift the repeating part to the left of the decimal point.
3. Subtract the equation obtained in step 2 from the original equation to eliminate the repeating part.
4. Solve the resulting equation for x.
5. Express x as a fraction by simplifying the numerator and denominator.
Therefore, the steps in order for changing the repeating decimal 0.474747... to a ratio or fraction would be:
1. Let x = 0.474747...
2. Multiply both sides by 100: 100x = 47.474747...
3. Subtract the original equation from the equation obtained in step 2: 100x - x = 47.474747... - 0.474747..., simplifying to 99x = 47.
4. Solve for x: x = 47/99.
5. Simplify the fraction: 47/99 cannot be simplified further, so the fraction representing 0.474747... is 47/99.