$9-3 \div \frac{1}{3}+1=$

Step 1 ：The problem is asking for the result of the mathematical expression \(9-3 \div \frac{1}{3}+1\).

Step 2 ：To solve this, we need to follow the order of operations, which is often remembered by the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Step 3 ：In this case, we have subtraction, division, and addition. According to PEMDAS, we should perform the division operation first, then the subtraction, and finally the addition.

Step 4 ：The result of the mathematical expression \(9-3 \div \frac{1}{3}+1\) is 1.0.

Step 5 ：Final Answer: \(\boxed{1.0}\)