Solve the expression 6 / 2(1+2)

Check the final answer first, then review the worked steps.

Problem

Solve the expression 6 / 2(1+2)

Answer

9

Step-by-step solution

1. Simplify the expression inside the parentheses: The first step is to evaluate the expression within the parentheses according to the order of operations (PEMDAS/BODMAS).
$1 + 2 = 3$

2. Rewrite the expression with the simplified parentheses: Substitute the result back into the original expression.
$6 \div 2(3)$

3. Perform multiplication and division from left to right: According to the order of operations, multiplication and division have the same priority and should be performed from left to right.
First, perform the division: $6 \div 2 = 3$

4. Perform the remaining multiplication: Now, multiply the result by the number outside the parentheses.
$3 \times 3 = 9$