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

Question

x = 47/99, Subtract x = 0.474747..., 100x = 47.474747, x = 0.47474747, 99x = 47

Answer 1

1. x = 0.474747...,
2. Multiply both sides of the equation by 100 to eliminate the repeating decimal: 100x = 47.474747,
3. Subract the equation x = 0.474747... from 100x = 47.474747 to eliminate the repeating decimal: 100x - x = 47.474747 - 0.474747,
4. Simplify the equation to find the value of x: 99x = 47,
5. Rewrite the equation as a fraction to find the fraction equivalent of the repeating decimal: x = 47/99.