Final answer:
To simplify the expression 1/2 (2n + 4 + 6m) using the distributive property, multiply each term by 1/2 to get n + 2 + 3m.
Step-by-step explanation:
To use the distributive property to simplify the expression 1/2 (2n + 4 + 6m), you need to multiply each term inside the parenthesis by 1/2. Here is the step-by-step process:
- Multiply 1/2 by 2n to get n.
- Multiply 1/2 by 4 to get 2.
- Multiply 1/2 by 6m to get 3m.
Now, combine these terms to get the simplified expression:
n + 2 + 3m
Therefore, the expression simplifies to n + 2 + 3m.