The math problem in the image is:

\[ 9 – 3 \div \frac{1}{3} + 1 = ? \]

To solve this problem, let’s follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

Step-by-Step Solution:

1. **Division**:
First, solve the division \(3 \div \frac{1}{3}\).

\[
3 \div \frac{1}{3} = 3 \times 3 = 9
\]

So the equation now becomes:

\[
9 – 9 + 1
\]

2. **Subtraction and Addition**:
Now, proceed from left to right:

\[
9 – 9 = 0
\]

Then,

\[
0 + 1 = 1
\]

Final Answer:
The correct answer is \(1\).

This problem often causes confusion because people may misinterpret the order of operations, but following PEMDAS correctly leads to the answer of 1.