As per given by the question,
There are given that the fraction
![(25)/(9)](https://img.qammunity.org/2023/formulas/mathematics/high-school/2q70h8zlmqa8w63igiaw33n8vcww7xjiyp.png)
Now,
For decimal divide the numerator by the denominator.
So, the value is;
![(25)/(9)=2.777777](https://img.qammunity.org/2023/formulas/mathematics/college/nwugmcrb1vyzit4mtslo19gvssqo2xlxab.png)
Now,
According to the question, there are mention that use a bar to indicate which which digit repeats.
So,
![(25)/(9)=2.\bar{7}](https://img.qammunity.org/2023/formulas/mathematics/college/v3xhk479f9hwfukwr77f53spxg0bbdd1p2.png)
Hence, the decimal of given fraction is,
![2.\bar{7}](https://img.qammunity.org/2023/formulas/mathematics/college/y6fzy7d41bgoj13cpydcjokam4wf1mpk18.png)