a: \(=2\left(\dfrac{1}{5}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{9}+...+\dfrac{1}{17}-\dfrac{1}{19}\right)\)
\(=2\cdot\dfrac{14}{95}=\dfrac{28}{95}\)
b: \(=\dfrac{1526\cdot153+1000}{1526\left(154-1\right)+1000}\)
\(=\dfrac{1526\cdot153+1000}{1526\cdot153+1000}=1\)