he steps in order for changing the repeating decimal, which is rational, to a ratio or fraction. 0.474747.... = what fraction
To change the repeating decimal 0.474747... into a fraction, we can follow the steps below:
1. Let x represent the repeating decimal: x = 0.474747...
2. Multiply both sides of the equation by 100 to eliminate the repeating decimals after the decimal point: 100x = 47.474747...
3. Subtract the original equation (step 1) from the equation in step 2 to eliminate the repeating part: 100x - x = 47.474747... - 0.474747...
Simplifying this equation gives: 99x = 47
4. Divide both sides of the equation by 99 to isolate x: x = 47/99
Therefore, the fraction equivalent to the repeating decimal 0.474747... is 47/99.