Final answer:
The expression 1/3+4×2/3 - 12÷4 is evaluated by following the order of operations, resulting in a solution of 0.
Step-by-step explanation:
To solve the expression 1/3+4×2/3 - 12÷4, we follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction). Multiplication and division are performed from left to right, followed by addition and subtraction, also from left to right.
Step 1: Perform the multiplication: 4×2/3 equals 8/3 or 2 and 2/3.
Step 2: Perform the division: -12÷4 equals -3.
Step 3: Add the results: 1/3 plus 2 and 2/3 equals 3, and then adding -3 results in 0.
Therefore, the solution to the expression is 0.