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