I have a question I am having a hard time with.....

2 more than 6 times a number divided 3

Would this be read as

(6p / 3) + 2
or
6 (p/3) + 2

thank you for your help!!!

Both are correct. In the second one, 6 is equal to 6/1, so when you multiply it by p/3, you'll end up with 6p/3. Either way is correct.

could this also read as (6p + 2) / 3

No, it cannot be read as (6p + 2) / 3. Let's break down the original expression "2 more than 6 times a number divided by 3" step by step.

1. "6 times a number divided by 3": This means you need to take a number (let's call it "p") and multiply it by 6. Then, you divide the result by 3, giving you 6p/3 or simply 2p.
2. "2 more than [the result of step 1]": Now, you take the result from step 1, which is 2p, and add 2 to it. So, the final expression is 2p + 2.

To summarize, the correct interpretation of "2 more than 6 times a number divided by 3" would be written as 2p + 2.