\(=1-\left(\dfrac{1}{2}-\dfrac{1}{3}\right)-\left(\dfrac{1}{3}-\dfrac{1}{5}\right)-...-\left(\dfrac{1}{23}-\dfrac{1}{30}\right)\\ =1-\dfrac{1}{2}+\dfrac{1}{3}-\dfrac{1}{3}+\dfrac{1}{5}-...-\dfrac{1}{23}+\dfrac{1}{30}\\ =1+\dfrac{1}{30}=\dfrac{31}{30}\)