Division - Question: 9 - 3 / (1/3) + 1 =?

Using the PEMDAS system, I got the answer 1.

Starting with 3 / (1/3), I got 9
9 - 9 + 1 = ?

I then subtracted that 9 with a 9.
0 + 1 = ?

Finally, I added the 1 to the 0 to get 1.