Simplify:
​$$\frac{(0.1×0.1×0.1+0.2×0.2×0.2)}{(0.5×0.5×0.5+1)}$$​​

Correct option is C

Given: 

​$$\text{ To find : value of } \frac{(0.1×0.1×0.1+0.2×0.2×0.2)}{(0.5×0.5×0.5+1)}$$ 

Solution: 

​$$= \frac{(0.1×0.1×0.1+0.2×0.2×0.2)}{(0.5×0.5×0.5+1)} \\ \ \\ =\frac{(0.001+0.008)}{(0.125+1)} \\ \ \\ = \frac{(0.009)}{(1.125)} \\ \ \\ = \frac{1}{125} \\ = 0.008$$​​