\(1\dfrac{3}{5}\div\dfrac{9}{2}+1\dfrac{3}{5}\div\dfrac{9}{7}\)
\(=\dfrac{8}{5}\div\dfrac{9}{2}+\dfrac{8}{5}\div\dfrac{9}{7}\)
\(=\dfrac{8}{5}\times\dfrac{2}{9}+\dfrac{8}{5}\times\dfrac{7}{9}\)
\(=\dfrac{8}{5}\times\left(\dfrac{2}{9}+\dfrac{7}{9}\right)\)
\(=\dfrac{8}{5}\times1=\dfrac{8}{5}\)
\(=\dfrac{8}{5}\times\left(\dfrac{2}{9}+\dfrac{7}{9}\right)=\dfrac{8}{5}\times1=\dfrac{8}{5}\)