Find the value of the following expression:
\(\frac{{1\frac{2}{3} \div \frac{5}{6} \times 6 + \frac{4}{5} \times \frac{1}{2} + \frac{2}{3}}}{{2 - \left[ {1\frac{1}{3} \times \left( { - \frac{3}{5}} \right) - 6\left\{ {\frac{3}{5} - \left( {3 - \frac{3}{{10}}} \right)} \right\}} \right]}}\)
1
\({ - \frac{1}{{7}}}\)
2
\({ \frac{4}{{3}}}\)
3
\({ -\frac{4}{{3}}}\)
4
\({ \frac{1}{{7}}}\)