Put the steps in order for changing the repeating decimal, which is rational, to a ratio or fraction. 0.474747.... =what fraction?
fraction?
1. x = 47/99
2. 99x = 47
3. x=0.474747
4. subtract (x=0.474747…..)
5. 100x=17.1717……
I think you will find that the steps are
x = 0.474747...
100x = 47.474747...
subtract (x=0.474747…..)
99x - 47
x = 47/99
Apologies for the incorrect ordering. You are correct. Here are the steps in the correct order:
1. x = 0.474747...
2. 100x = 47.474747...
3. Subtract (x = 0.474747…..)
4. 99x - 47
5. x = 47/99
1. x = 47/99
2. 99x = 47
3. subtract (x=0.474747…..)
4. x=0.474747
5. 100x=17.1717……