Put the steps in order for changing the repeating decimal, which is rational, to a ratio or fraction.  0.474747.... = what fraction?(5 points)Arrange responses in the correct order to answer the question. Select a response, navigate to the desired position and insert response at that position. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can be moved using the up and down arrow keys or by dragging with a mouse.x = 0.47474747…100x = 47.474747…99x = 47Subtract x = 0.474747…x = 47/99

1 answer

To change the repeating decimal \( 0.474747... \) into a fraction, you can follow these ordered steps:

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

So the correct order is:

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