\(\frac{5}{7}.\frac{43}{20}-\frac{3}{4}\left(\frac{13}{10}-\frac{1}{6}\right)-\frac{13}{70}\)
\(=\frac{43}{28}-\frac{3}{4}.\frac{17}{15}-\frac{13}{70}\)
\(=\frac{43}{28}-\frac{17}{20}-\frac{13}{70}\)
\(=\frac{215}{140}-\frac{119}{140}-\frac{26}{140}\)
\(=\frac{70}{140}=\frac{1}{2}\)