Individual Fractional Part of Roots!?

Algebra Level 2

$x^3-x^2-5x+1=0$

If the roots of the above equation are $\alpha$ , $\beta$ , and $\gamma$ , find the value of $\{\alpha\}+\{\beta\}+\{\gamma\},$ where $\{ \cdot \}$ denotes the fractional part function.