Question

Use the distributive property to simplify 1/6 × (36+1/2)

Answer 1

To simplify 1/6 × (36+1/2) using the distributive property, distribute 1/6 to both terms inside the parentheses and then add the results. Therefore, 1/6 × (36+1/2) simplifies to 73/12.

Step-by-step explanation:

To simplify the expression 1/6 × (36+1/2) using the distributive property, we need to distribute the 1/6 to both terms inside the parentheses.

1. Multiplying 1/6 by 36 gives us 1/6 × 36 = 36/6 = 6.
2. Multiplying 1/6 by 1/2 gives us 1/6 × 1/2 = 1/12.

Now we add the two results: 6 + 1/12 = 72/12 + 1/12 = 73/12.

Therefore, 1/6 × (36+1/2) simplifies to 73/12.

Answer 2

1/6(36 + 1/2) = 6 + 1/12 = 72/12 + 1/12 = 73/12