Answer:
[tex]0.\bar{9}=1[/tex]Explanation:
The fractions are formed with a 9 as a denominator and the numerator is the number that repeats. So, following the same rule, we can say that 0.999... is equivalent to:
[tex]0.\bar{9}=\frac{9}{9}[/tex]However, 9/9 is equal to 1, so:
[tex]0.999\ldots=0.\bar{9}=1[/tex]Therefore, the answer is:
[tex]0.\bar{9}=1[/tex]