Simplify the following expression.
$$\frac{6\frac{1}{2} + 2\frac{5}{7}\times\frac{14}{19}-\frac{1}{2} \div2 of \frac{1}{4}}{11\times12\div12+12}$$

A

$$\frac{15}{46}$$

B

$$\frac{19}{46}$$

C

$$\frac{15}{143}$$

D

$$\frac{110}{437}$$