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=0.47474747...
100x47.474747....
Subtract x = 0.474747...
99x = 47
x = 47/99
1. Assign a variable to the repeating decimal, in this case x = 0.47474747...
2. Multiply the repeating decimal by a power of 10 that eliminates the repeating pattern. In this case, multiply by 100 to get 100x = 47.474747...
3. Subtract the original repeating decimal from the result of step 2. In this case, 100x - x = 47.474747... - 0.474747... = 47
4. Simplify the result of the subtraction. In this case, 99x = 47
5. Divide both sides of the equation by 99 to solve for x. In this case, x = 47/99.
So the fraction that represents the repeating decimal 0.474747... is 47/99.