The value of  $$\frac{5}{2} + \left( \frac{1}{1 + \frac{3}{8}} \right) - \frac{3}{5} \text{ is}$$​​

Correct option is B

Given: ​

​$$\frac{5}{2} + \left( \frac{1}{1 + \frac{3}{8}} \right) - \frac{3}{5}$$ 

Solution: ​

​$$\frac{5}{2} + \left( \frac{1}{1 + \frac{3}{8}} \right) - \frac{3}{5} \\ \ \\ = \frac{5}{2} + \left( \frac{1}{\frac{8+3}{8}} \right) - \frac{3}{5}\\ \ \\ = \frac{5}{2} + \left( \frac{8}{11} \right) - \frac{3}{5} \\ \ \\ = \frac{275+80 -66}{110} \\ \ \\ = \frac{289}{110}$$​​