-12
Explanation:[tex]-5\frac{1}{2}-9\frac{1}{4}+2\frac{3}{4}[/tex]first we convert to improper fraction:
[tex]=\frac{-11}{2}\text{ - }\frac{37}{4}\text{ + }\frac{11}{4}[/tex]simplify:
[tex]\begin{gathered} =\text{ }\frac{2(-11)\text{ - 37(1) + 11(1)}}{4} \\ =\text{ }\frac{-22\text{ - 37 + 11}}{4} \\ =\text{ }\frac{-59\text{ + 11}}{4} \end{gathered}[/tex][tex]\begin{gathered} =\text{ }\frac{-48}{4} \\ =\text{ -12} \end{gathered}[/tex]