Put the steps in order for changing the repeating decimal, which is rational, to a ratio or fraction. 0.474747.... = what fraction?(5
1. Identify the repeating pattern of the decimal. In this case, it is "47".
2. Count the number of digits in the repeating pattern. In this case, there are 2 digits.
3. Let "x" represent the repeating pattern.
4. Write an equation to represent the decimal as a fraction. Since there are 2 repeating digits, multiply "x" by 100 to move the decimal point two places to the right: 100x = 47.474747...
5. Subtract the original equation from the multiplied equation to eliminate the repeating pattern: 100x - x = 47.474747... - 0.474747...
Simplifying this equation, we get: 99x = 47.
6. Solve the equation to find the value of "x": x = 47/99.
7. The fraction form of the repeating decimal 0.474747... is 47/99.