\(\dfrac{3-\dfrac{3}{20}+\dfrac{3}{12}-\dfrac{3}{2013}}{7-\dfrac{7}{20}+\dfrac{7}{13}-\dfrac{7}{2013}}\)
\(=\dfrac{3\left(\dfrac{1}{20}+\dfrac{1}{12}-\dfrac{1}{2013}\right)}{7\left(\dfrac{1}{20}+\dfrac{1}{12}-\dfrac{1}{2013}\right)}\)
\(=\dfrac{3}{7}\)