Solve the expression \(9 - 3 \div \frac{1}{3} + 1\).
Step 1: Handle the division operation.
First, solve \(3 \div \frac{1}{3}\). Dividing by \(\frac{1}{3}\) is the same as multiplying by 3. So, \(3 \div \frac{1}{3} = 3 \times 3 = 9\).
Step 2: Substitute the result back into the expression.
Now, substitute the result of the division into the original expression: \(9 - 9 + 1\).
Step 3: Perform the subtraction and addition.
Subtract 9 from 9: \(9 - 9 = 0\). Then add 1: \(0 + 1 = 1\).
The final result is \(\boxed{1}\).
The solution to the expression \(9 - 3 \div \frac{1}{3} + 1\) is \(\boxed{1}\).
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