Tìm phân số \(\frac{x}{y}\)biết: \(\frac{x}{y} \times \frac{1}{2} + \frac{x}{y} \times \frac{1}{6} = \frac{{2012}}{{2013}} - \frac{x}{y} \times \frac{1}{3}\)
A.\(\frac{1}{2}\)\(\)
B.\(\frac{{1006}}{{1007}}\)
C.\(\frac{{2012}}{{2013}}\)
D.\(\frac{{2004}}{{2005}}\)