Answer:
482/999
Step-by-step explanation:
Since there are 3 repeating digits, starting at the decimal point, the short answer is that the fraction is ...
482/999
where 999 has a number of 9's equal to the number of repeating digits.
This fraction cannot be reduced.
_____
Long answer
Multiply the value by 1000 = 10^3, where the '3' is the number of repeating digits. Then subtract the original and divide by the coefficient of 'x'.
[tex]x=0.\overline{482}\\1000x=482.\overline{482}\\1000x-x=482.\overline{482}-0.\overline{482}\\999x=482\\\\x=\dfrac{482}{999}[/tex]
482 and 999 have no common factors, so the fraction cannot be reduced.
