\(\dfrac{4}{9}+\left(\dfrac{2}{9}+\dfrac{5}{70}\right)\)
\(=\dfrac{4}{9}+\left(\dfrac{2}{9}+\dfrac{1}{14}\right)\)
\(=\dfrac{4}{9}+\left(\dfrac{28}{126}+\dfrac{9}{126}\right)\)
\(=\dfrac{4}{9}+\dfrac{37}{126}\)
\(=\dfrac{56}{126}+\dfrac{37}{126}\)
\(=\dfrac{31}{42}\)