Evaluate the expression 9 - 3 divided by 1/3 + 1
Check the final answer first, then review the worked steps.
Problem
Evaluate the expression 9 - 3 divided by 1/3 + 1
Answer
9
Step-by-step solution
- Apply Order of Operations (PEMDAS/BODMAS): The expression involves subtraction, division, and addition. We must follow the order of operations: Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
2. Perform Division: The first operation to perform according to PEMDAS is division. We have $3 \div \frac{1}{3}$. Dividing by a fraction is the same as multiplying by its reciprocal.
$$3 \div \frac{1}{3} = 3 \times \frac{3}{1} = 3 \times 3 = 9$$