​$$\frac{8}{5} + \frac{4}{3} \times \left( 6 - \frac{2}{7} \right)$$​​

Correct option is A

​1. Simplify 6 - $$\frac{2}{7}$$​ :

$$6 = \frac{42}{7}, \quad \text{so } 6 - \frac{2}{7} = \frac{42}{7} - \frac{2}{7} = \frac{40}{7}$$​


2. Multiply $$\frac{4}{3} by \frac{40}{7}$$​:

$$\frac{4}{3} \times \frac{40}{7} = \frac{160}{21}$$​.


3. Add $$\frac{8}{5} and \frac{160}{21}$$​:
- Convert $$\frac{8}{5}$$​ to have a common denominator with $$\frac{160}{21}$$​ :

$$\frac{8}{5} = \frac{168}{105}, \quad \frac{160}{21} = \frac{800}{105}$$​.

- Add:

$$\frac{168}{105} + \frac{800}{105} = \frac{968}{105}$$​.


4. Simplify the result:

$$\frac{968}{105} = 9 \frac{23}{105}$$​


Final Answer:
The correct answer is $$\frac{968}{105}$$​ ​