To solve this problem, we need to subtract the second mixed number from the first mixed number.

First, let's convert the mixed numbers into improper fractions:
3 2/5 = (53 + 2)/5 = 17/5
1 2/15 = (151 + 2)/15 = 17/15

Now, we subtract the second fraction from the first fraction:
17/5 - 17/15

To subtract fractions, we need a common denominator. The least common multiple of 5 and 15 is 15, so we will rewrite the fractions with a denominator of 15:
(173)/(53) - 17/15
51/15 - 17/15

Now, we can subtract the numerators while keeping the denominator the same:
(51 - 17)/15 = 34/15

Therefore, the result of the subtraction is 34/15 or 2 4/15.