[tex]6 + ( - 4 \frac{3}{4} ) + ( - 2 \frac{1}{8} ) \\ \\ = 6 - 4 \frac{3}{4} - 2 \frac{1}{8}[/tex]
[tex] = 6 - \frac{4 \times 4 + 3}{4} - \frac{2 \times 8 + 1}{8} \\ \\ = 6 - \frac{19}{4} - \frac{17}{8} [/tex]
[tex]= \frac{6 \times 8 - 19 \times 2 - 17 \times 1}{8} \\ \\ = \frac{48 - 38 - 17}{8} [/tex]
[tex]= \frac{48 - (38 + 17)}{8} \\ \\ = \frac{48 - 55}{8} \\ \\ = \boxed{ \frac{ - 7}{8} }[/tex]
