As per given by the question,
There are given that the fraction
[tex]\frac{25}{9}[/tex]Now,
For decimal divide the numerator by the denominator.
So, the value is;
[tex]\frac{25}{9}=2.777777[/tex]Now,
According to the question, there are mention that use a bar to indicate which which digit repeats.
So,
[tex]\frac{25}{9}=2.\bar{7}[/tex]Hence, the decimal of given fraction is,
[tex]2.\bar{7}[/tex]