Answer:
option A.
Step-by-step explanation:
Conversion of the mixed numbers to fraction:
[tex]-36\frac{4}{9}=\frac{(-36\ast9)-4}{9}=\frac{-328}{9}[/tex][tex]-10\frac{2}{9}=\frac{-10\ast9-2}{9}=\frac{-92}{9}[/tex][tex]18\frac{2}{9}=\frac{-18\ast9-2}{9}=\frac{164}{9}[/tex]Operations:
[tex]-\frac{328}{9}-(-\frac{92}{9})-\frac{164}{9}=\frac{-328-164+92}{9}=-\frac{400}{9}[/tex]Conversion of the result to mixed number:
-400/9 is -44 with modulo 4.
So the answer is, as a mixed number
[tex]-44\frac{4}{9}[/tex]Which is option A.
