1: \(\dfrac{11}{24}+\dfrac{13}{24}-\dfrac{5}{41}-\dfrac{36}{41}+\dfrac{1}{2}\)
\(=1-1+\dfrac{1}{2}=\dfrac{1}{2}\)
6: \(10\cdot\sqrt{0.01}\cdot\sqrt{\dfrac{16}{9}}+3\sqrt{49}-\dfrac{1}{6}\sqrt{4}\)
\(=10\cdot0.1\cdot\dfrac{4}{3}+3\cdot7-\dfrac{1}{6}\cdot2\)
\(=\dfrac{4}{3}-\dfrac{1}{3}+21\)
=22