1. **State the problem:** Subtract the fractions $\frac{8}{25} - \frac{5}{25}$ and simplify the result. 2. **Formula and rules:** When subtracting fractions with the same denominator, subtract the numerators and keep the denominator the same: $$\frac{a}{c} - \frac{b}{c} = \frac{a-b}{c}$$ 3. **Apply the formula:** $$\frac{8}{25} - \frac{5}{25} = \frac{8-5}{25}$$ 4. **Simplify the numerator:** $$\frac{8-5}{25} = \frac{3}{25}$$ 5. **Final answer:** The simplified result of the subtraction is $\frac{3}{25}$.