6. (6 points) Definition: The symbol $\{x\}$ represents the fractional part of $x$, for example: $\{3.14\}=0.14,\{0.5\}=0.5$. Then $\left\{\frac{2015}{3}\right\}+\left\{\frac{315}{4}\right\}+\left\{\frac{412}{5}\right\}=$ $\qquad$ . (The result should be expressed as a decimal)
【Solution】Solve: $\left\{\frac{2015}{3}\right\}+\left\{\frac{315}{4}\right\}+\left\{\frac{412}{5}\right\}$
$$
\begin{array}{l}
\approx\{671.66 \dot{6}\}+\{78.75\}+\{82.4\} \\
=0.66 \dot{6}+0.75+0.4 \\
=1.81 \dot{6}
\end{array}
$$

Therefore, the answer is: 1.816.