\(\dfrac{4}{9}.\dfrac{7}{26}+\dfrac{45}{26}.\dfrac{4}{9}-\dfrac{2}{3}\)
\(\Rightarrow=\dfrac{4}{9}.\left(\dfrac{7}{26}+\dfrac{45}{26}\right)-\dfrac{2}{3}\)
\(\Rightarrow=\dfrac{4}{9}.2-\dfrac{2}{3}\)
\(\Rightarrow=\dfrac{4.2}{9}-\dfrac{2}{3}\)
\(\Rightarrow=\dfrac{8}{9}-\dfrac{2}{3}\)
\(\Rightarrow=\dfrac{8}{9}-\dfrac{6}{9}\)
\(\Rightarrow=\dfrac{2}{9}\)