9 - 3 divided by 1/3 + 1 = ?
Check the final answer first, then review the worked steps.
Problem
9 - 3 divided by 1/3 + 1 = ?
Answer
9
Step-by-step solution
- Apply Order of Operations (PEMDAS/BODMAS): The problem requires us to follow the order of operations, which stands for Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). In this expression, we have subtraction, division, and addition.
2. Perform Division: According to PEMDAS/BODMAS, division comes before addition and subtraction. We need to divide 3 by $\frac{1}{3}$. Dividing by a fraction is the same as multiplying by its reciprocal.
$$3 \div \frac{1}{3} = 3 \times \frac{3}{1} = 3 \times 3 = 9$$