Let's simplify the expression step by step:

First, we solve the numerators and the denominators separately:

2*1/4 = 2/4 = 1/2

1/4 + 3*1/3 = 1/4 + 3/3 = 1/4 + 1 = 5/4

Next, we divide the numerators and denominators:

(1/2 - 1/3) / (5/4)

To subtract the fractions, we need to find a common denominator:

1/2 = 3/6
1/3 = 2/6

So, the expression becomes:

(3/6 - 2/6) / (5/4)
= 1/6 / 5/4
= 1/6 * 4/5
= 4/30
= 2/15

Therefore, the final simplified result is 2/15.