Express the following as a vulgar fraction.

​$$0.\overline{54} + 0.2\overline{3}$$​​

Correct option is D

Given: 

​$$0.\overline{54} + 0.2\overline{3}$$ 

Concept Used: 

For $$0.\overline{pq}$$ it can be written as $$\frac{pq}{99}$$ 

for $$0.p\overline q$$ it cam be written as $$\frac{pq -p}{90}$$  

Solution: 

$$0.\overline{54} + 0.2\overline{3} \\ \ \\ = \frac{54}{99} + \frac{23 - 2}{90} \\ \ \\ = \frac{540 + 231}{990} \\ \ \\ = \frac{771}{990}$$ ​