1. **State the problem:** Simplify the expression $$\frac{2}{25} - \frac{1}{3}$$. 2. **Formula and rules:** To subtract fractions, they must have a common denominator. The common denominator is the least common multiple (LCM) of the denominators. 3. **Find the LCM of 25 and 3:** - 25 factors as $5^2$ - 3 is prime - LCM is $25 \times 3 = 75$ 4. **Rewrite each fraction with denominator 75:** $$\frac{2}{25} = \frac{2 \times 3}{25 \times 3} = \frac{6}{75}$$ $$\frac{1}{3} = \frac{1 \times 25}{3 \times 25} = \frac{25}{75}$$ 5. **Subtract the numerators:** $$\frac{6}{75} - \frac{25}{75} = \frac{6 - 25}{75} = \frac{-19}{75}$$ 6. **Final answer:** The simplified result is $$\boxed{\frac{-19}{75}}$$.