Solve: -4/9 + 5 + (-2) + 5/9 Mixed Number Operations

To solve this problem, we'll perform operations involving both fractions and whole numbers:

• Step 1: Combine the fractional parts $-\frac{4}{9}$ and $\frac{5}{9}$.

• Step 2: Add the remaining whole numbers $5$ and $-2$.

• Step 3: Sum the results from Step 1 and Step 2.

Let's start:
Step 1: Work with the fractions together. - We have $-\frac{4}{9}$ and $\frac{5}{9}$, both have the same denominator, thus can be directly added: $-\frac{4}{9} + \frac{5}{9} = \frac{-4+5}{9} = \frac{1}{9}$

Step 2: Add the integer components $5$ and $-2$: $5 + (-2) = 5 - 2 = 3.$

Step 3: Combine results from Step 1 and Step 2: $3+\frac{1}{9}=\frac{27}{9}+\frac{1}{9}=\frac{28}{9}$.

Therefore, the final result of the expression is $\frac{28}{9}$.