\(\dfrac{4}{5}.\dfrac{3}{7}-\dfrac{4}{7}:\sqrt{\dfrac{25}{16}}-\left(-1\right)\)=\(\dfrac{12}{35}-\dfrac{20}{28}+1\)
=\(\dfrac{12}{35}-\dfrac{5}{7}+1\)=\(\dfrac{12}{35}-\dfrac{25}{35}+\dfrac{35}{35}\)=\(\dfrac{22}{35}\)
=\(\dfrac{12}{35}\)-\(\dfrac{16}{35}+\dfrac{35}{35}\)=\(\dfrac{31}{35}\)