Respuesta :

Answer:

D. [tex]5\frac{4}{9}[/tex]

Step-by-step explanation:

1. Convert mixed numbers into improper fractions:

[tex]2\frac{1}{9} =\frac{19}{9}[/tex]

[tex]3\frac{5}{9} =\frac{32}{9}[/tex]

[tex]\frac{19}{9} +(-\frac{2}{9} )+\frac{32}{9}[/tex]

2. Solve:

[tex]\frac{19}{9} +(-\frac{2}{9} )+\frac{32}{9} = \frac{19}{9} -\frac{2}{9} +\frac{32}{9}[/tex]

[tex]\frac{17}{9} +\frac{32}{9}[/tex]

[tex]\frac{49}{9}[/tex]

9 can go into 49 five times, so there will be a whole number of 5. There is 4/9 left over, so the final answer is:

[tex]5\frac{4}{9}[/tex]

hope this helps!