It is not possible to answer the question because it is ambiguous: the answer depends on what string is repeating. It is not clear from the question whether the fraction is meant to be 0.090909... or 0.09999... .
0.453 repeated as a fraction = 453/999
.23 repeated as a fraction is 23/99
The number .475 repeated as a fraction would be 475/999.
Well, honey, writing .009 as a decimal fraction is as easy as pie. All you gotta do is move that decimal point three places to the right to get 0.009. Voilà! You're welcome.
If it's only the '4' that's repeated, then the fraction is 2/45 . If the '.04' is repeated, then the fraction is 4/99 .
0.3 is 3/10 as a fraction. It is NOT '1/3' 0.3333333...... repeated to infinity is 1/3
It is 1 2/3.
0.9 = 9/10 0.09 = 9/100 0.009 = 9/1,000
5/3
It is 40/9.
6/7
213/999