\(A=\left(\frac{3}{5}+\frac{47}{13}-\frac{25}{8}+\frac{1}{8}-\frac{8}{13}+\frac{2}{5}\right)\times\frac{2014}{2015}\)
\(A=\left[\left(\frac{3}{5}+\frac{2}{5}\right)+\left(\frac{47}{13}-\frac{8}{13}\right)-\left(\frac{25}{8}-\frac{1}{8}\right)\right]\times\frac{2014}{2015}\)
\(A=\left[1+3-3\right]\times\frac{2014}{2015}\)
\(A=1\times\frac{2014}{2015}\)
\(A=\frac{2014}{2015}\)
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