9 - 3 ÷ \frac{1}{3} + 1 = ?

Answer

To solve the expression \(9 - 3 \div \frac{1}{3} + 1\), we follow the order of operations (PEMDAS/BODMAS). This means we handle any parentheses first, then exponents, followed by division and multiplication from left to right, and finally addition and subtraction from left to right. 1. **Resolve the division**: \(3 \div \frac{1}{3}\) can be rewritten as \(3 \times 3 = 9\). (This is because dividing by a fraction is the same as multiplying by its reciprocal). So now the expression becomes: \(9 - 9 + 1\) 2. **Perform the subtraction**: \(9 - 9 = 0\) 3. **Now, add 1**: \(0 + 1 = 1\) Therefore, the final answer is \(1\).