Put the steps in order for changing the repeating decimal, which is rational, to a

Question

ratio or fraction. 0.474747... = what fraction? (5 points)
100x = 47.474747.
= x = 47/99
= 99x = 47
＝ x= 0.47474747...
= Subtract x = 0.474747..

Put them in order

Answer 1

To convert the repeating decimal \(0.474747...\) to a fraction, you can follow these steps in order:

1. \( x = 0.474747... \)
2. \( 100x = 47.474747... \)
3. \( 100x - x = 47.474747... - 0.474747... \)
4. \( 99x = 47 \)
5. \( x = \frac{47}{99} \)

So the correct order of the steps is:

1. \( x = 0.474747... \)
2. \( 100x = 47.474747... \)
3. \( 100x - x = 47.474747... - 0.474747... \)
4. \( 99x = 47 \)
5. \( x = \frac{47}{99} \)