\(\frac{5}{7}.\left(\frac{-4}{13}\right)+\frac{5}{7}.\frac{7}{13}-\frac{5}{13}.\frac{3}{7}\)
=\(\frac{5}{7}.\left(\frac{-4}{13}+\frac{7}{13}\right)\)-\(\frac{5}{13}.\frac{3}{7}\)
=\(\frac{5}{7}.\frac{3}{13}\)-\(\frac{5}{13}.\frac{3}{7}\)
=\(\frac{5.3}{7.13}-\frac{5.3}{13.7}\)
=\(\frac{15}{91}-\frac{15}{91}\)
=0.