1. **State the problem:** Subtract the fractions $\frac{5}{7}$ and $\frac{2}{7}$. 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:** Here, both fractions have denominator 7, so subtract the numerators: $$\frac{5}{7} - \frac{2}{7} = \frac{5-2}{7}$$ 4. **Simplify the numerator:** $$\frac{3}{7}$$ 5. **Final answer:** The result of the subtraction is $\frac{3}{7}$.