\(3\frac{14}{19}+\frac{13}{17}+\frac{35}{43}+6\)
\(=\frac{71}{19}+\frac{13}{17}+\frac{35}{43}+6\)
\(=\frac{51901}{13889}+\frac{10621}{13889}+\frac{11305}{13889}+\frac{83334}{13889}\)
\(=\frac{51901+10621+11305+83334}{13889}\)
\(=\frac{157161}{13889}=11,31550148\)