What number would be next in the pattern?

1/324

1/108

1/36

1/12

OK, so noticing the numbers you have:

we can see that, multiplying each number by 3 gives the next one.

That is:

(1/324) x 3 = 1/108

(1/108) x 3 = 1/36

(1/36) x 3 = 1/12

So, to get the next number in the pattern, we will just multiply (1/12) by 3

The next number is:

(1/12) x 3 = 1/4