\(\dfrac{4}{5}.\dfrac{6}{2}-\dfrac{4}{5}.\dfrac{8}{9}-\dfrac{1}{2}=\dfrac{12}{5}-\dfrac{32}{45}-\dfrac{1}{2}=\dfrac{76}{45}-\dfrac{1}{2}=\dfrac{107}{90}\)
\(=\dfrac{4}{5}.\dfrac{6}{2}-\dfrac{4}{5}.\dfrac{8}{9}-\dfrac{1}{2}.1\)
\(=\dfrac{4}{5}.\left(\dfrac{6}{2}-\dfrac{1}{2}\right).1\)
\(=\dfrac{4}{5}.\dfrac{5}{2}.1\)
\(=2.1\)
\(=2\)
\(\dfrac{4}{5}.\dfrac{6}{2}-\dfrac{4}{5}.\dfrac{8}{9}-\dfrac{1}{2}\)
\(=\dfrac{4}{5}.\left(\dfrac{6}{2}-\dfrac{8}{9}\right)-\dfrac{1}{2}\)
\(=\dfrac{4}{5}.\dfrac{19}{9}-\dfrac{1}{2}\)
\(=\dfrac{76}{45}-\dfrac{1}{2}\)
\(=\dfrac{107}{90}\)