To change the repeating decimal \( 0.474747... \) into a fraction, you can follow these ordered steps:
- \( x = 0.474747... \)
- \( 100x = 47.474747... \)
- Subtract \( x = 0.474747... \)
- \( 99x = 47 \)
- \( x = \frac{47}{99} \)
So the correct order is:
- \( x = 0.474747... \)
- \( 100x = 47.474747... \)
- Subtract \( x = 0.474747... \)
- \( 99x = 47 \)
- \( x = \frac{47}{99} \)