To solve this expression, we need to find a common denominator for the fractions. The least common denominator (LCD) for 25, 12, and 3 is 300.

Now, we can rewrite the fractions with the LCD:

5/25 = 60/300
1/12 = 25/300
2/3 = 200/300

Now, we can add the fractions:

60/300 - 25/300 + 200/300

To combine the fractions, we can subtract the numerators:

(60 - 25 + 200)/300

Simplifying the numerator:

(235)/300

The final answer is 235/300.