a) \(\dfrac{5}{3}+\left(-\dfrac{7}{13}\right)+\left(-\dfrac{1}{2}\right)\cdot2\)
\(=\dfrac{5}{3}-\dfrac{7}{13}-1\)
\(=\dfrac{65}{39}-\dfrac{21}{39}-\dfrac{39}{39}\)
\(=\dfrac{5}{39}\)
b) \(\dfrac{1}{7}\cdot\dfrac{3}{9}+\left(-\dfrac{13}{9}\right)\cdot\dfrac{1}{7}\cdot\dfrac{4}{9}\)
\(=\dfrac{1}{21}-\dfrac{52}{567}=-\dfrac{25}{567}\)