Final answer:
To evaluate the expression, follow the order of operations: parentheses, multiplication and division (left to right), and addition and subtraction (left to right). The final result is 12.66667 (rounded to 5 decimal places).
Step-by-step explanation:
To evaluate the expression 32 + (5 - 2) * 4 - 6 / 3, we follow the order of operations which is also known as PEMDAS. This stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
First, we perform the subtraction inside the parentheses: 5 - 2 = 3.
Next, we perform the multiplication: 3 * 4 = 12.
Then, we perform the addition and subtraction from left to right: 32 + 12 = 44, and 44 - 6 = 38.
Finally, we divide 38 by 3: 38 / 3 = 12.66667 (rounded to 5 decimal places).