Simplify \[{{\left[ {{\mathbf{7}}^{\mathbf{-1}}}\mathbf{+}{{\left( \frac{\mathbf{3}}{\mathbf{2}} \right)}^{\mathbf{-1}}} \right]}^{\mathbf{-1}}}\mathbf{\div }{{\left[ {{\mathbf{6}}^{\mathbf{-1}}}\mathbf{+}{{\left( \frac{\mathbf{3}}{\mathbf{2}} \right)}^{\mathbf{-1}}} \right]}^{\mathbf{-1}}}\]

• A. \[\frac{34}{35}\]
• B. \[\frac{35}{34}\]
• C. \[\frac{21}{105}\]
• D. \[\frac{5}{121}\]