To solve this expression, we will first convert the mixed numbers to improper fractions.

2/15 + 1 7/12 = 2/15 + 19/12 = (24/180) + (285/180) = 309/180

Next, we will simplify the equation:

(309/180) × (30/103) - 2 ÷ (2 1/4) × (9/32)

Now, let's calculate each part of the expression separately:

(309/180) × (30/103) = 9270/18540

2 ÷ (2 1/4) = 2 ÷ (9/4) = 2 × (4/9) = 8/9

(8/9) × (9/32) = 72/288 = 1/4

Now the expression becomes:

9270/18540 - 1/4

To subtract the fractions, we find a common denominator:

9270/18540 = 9270/18540 = 9270/18540

Therefore, the final answer is:

9270/18540 - 4635/18540 = 4635/18540 = 257/1035