What is the simplified value of $$\left\{\left(1-\frac{2}{15}\right)+\frac{2}{5}\right\}\div\frac{14}{15}+\left(\frac{2}{3}of\frac{6}{7}\div\frac{4}{9}-\frac{1}{6}\times1\frac{5}{7}\right)$$?

Using the rule of BODMAS, 

= $$\left\{\frac{13}{15}+\frac{2}{5}\right\}\div\frac{14}{15}+\left(\frac{4}{7}\div\frac{4}{9}-\frac{1}{6}\times1\frac{5}{7}\right)$$

= $$\left\{\frac{19}{15}\right\}\div\frac{14}{15}+\left(\frac{9}{7}-\frac{1}{6}\times1\frac{5}{7}\right)$$

= $$\left\{\frac{19}{14}+\left(\frac{9}{7}-\frac{2}{7}\right)\right\}$$

= $$\left\{\frac{19}{14}+1\right\}$$

= $$\frac{33}{14}$$

Hence, Option B is correct.