To evaluate the expression:

\[
-\frac{1}{9}(-3) + 4
\]

### Step-by-Step Solution:
1. Start by handling the multiplication:
   \[
   -\frac{1}{9} \times (-3) = \frac{3}{9} = \frac{1}{3}
   \]

2. Substitute this result back into the expression:
   \[
   \frac{1}{3} + 4
   \]

3. Convert 4 to a fraction to add it to \(\frac{1}{3}\):
   \[
   \frac{1}{3} + \frac{12}{3} = \frac{13}{3}
   \]

So, the final answer is:
\[
\frac{13}{3}
\]

Let me know if you would like further details or have any questions.

### Related Questions:
1. How would the answer change if the "+4" were "-4" instead?
2. What is the result of \(-\frac{1}{9}(-6) + 4\)?
3. How can \(\frac{13}{3}\) be expressed as a mixed number?
4. What happens if the expression is \( -\frac{1}{9}(-3) - 4\)?
5. How do you multiply fractions with negative signs?

### Tip:
When adding or subtracting fractions, try converting whole numbers to fractions for easier calculation.

Solve the algebraic expression -1/9(-3) + 4 step-by-step. This problem demonstrates the multiplication of fractions with negative numbers and the addition of fractions and whole numbers, suitable for students in Grades 6-8.

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