Hi there, I'm trying to relearn Algebra from the ground up, and its been a long time so I have a bit of a noobish question regarding an equation in the book I'm reading.

So it says to use the ordering system, PEMDAS

Parentheses

Exponents

Multiplications

Divisions

Addition

Subtraction

Now given the following...

9 / 3 x 7 - 2^3 + 7

Following the rules as above, I would do 2^3 and then 3 x 7. But this is wrong, so my confusion is why the division comes before the first multiplication or is it simply a matter of how it's written?

If I type it into Wolfram it changes it so its 9 3rds, rather than 9 divided by 3 that is actually written in the book, using the division symbol that I can't type on this iPad.

When given this symbol do I always express it as a fraction to the whole number on its right prior to any other operators?

Thanks in advance for any help!