\(\frac{1}{4}.\frac{15}{49}-\left(\frac{4}{5}+\frac{2}{3}\right)\div3\frac{2}{3}\)
\(=\frac{15}{196}-\left(\frac{12}{15}+\frac{10}{15}\right)\div\frac{11}{3}\)
\(=\frac{15}{196}-\left(\frac{12}{15}+\frac{10}{15}\right).\frac{3}{11}\)
\(=\frac{15}{196}-\frac{22}{15}.\frac{3}{11}\)
\(=\frac{15}{196}-\frac{2}{5}.\frac{1}{1}\)
\(=\frac{15}{196}-\frac{2}{5}\)
\(=\frac{75}{980}-\frac{392}{980}=\frac{-317}{980}\)
\(\frac{1}{4}\cdot\frac{15}{49}-\left(\frac{4}{5}+\frac{2}{3}\right):3\frac{2}{3}\)
\(=\frac{15}{196}-\frac{22}{15}\cdot\frac{3}{11}\)
\(=\frac{15}{196}-\frac{2}{5}\)
\(=-\frac{317}{980}\)