\(a)\left(6\dfrac{4}{9}+3\dfrac{7}{11}\right)-4\dfrac{4}{9}\)
\(=\left(\dfrac{58}{9}+\dfrac{40}{11}\right)-\dfrac{40}{9}\)
\(=\dfrac{58}{9}+\dfrac{40}{11}-\dfrac{40}{9}\)
\(=\left(\dfrac{58}{9}+\dfrac{40}{9}\right)+\dfrac{40}{11}\)
\(=2+\dfrac{40}{11}\)
\(=\dfrac{62}{11}\)
\(b)\left(11\dfrac{2}{7}+3\dfrac{2}{5}\right)-7\dfrac{2}{7}\)
\(=\left(\dfrac{79}{7}+\dfrac{17}{5}\right)-\dfrac{51}{7}\)
\(=\left(\dfrac{79}{7}-\dfrac{51}{7}\right)+\dfrac{17}{5}\)
\(=4+\dfrac{17}{5}\)
\(=\dfrac{37}{5}\)