1. **State the problem:** Simplify the expression $$\frac{2p}{5} + \frac{5}{p}$$. 2. **Find a common denominator:** The denominators are 5 and $p$. The least common denominator (LCD) is $$5p$$. 3. **Rewrite each fraction with the LCD:** $$\frac{2p}{5} = \frac{2p \times p}{5 \times p} = \frac{2p^2}{5p}$$ $$\frac{5}{p} = \frac{5 \times 5}{p \times 5} = \frac{25}{5p}$$ 4. **Add the fractions:** $$\frac{2p^2}{5p} + \frac{25}{5p} = \frac{2p^2 + 25}{5p}$$ 5. **Check for factorization:** The numerator $$2p^2 + 25$$ cannot be factored further over the real numbers. 6. **Final simplified expression:** $$\boxed{\frac{2p^2 + 25}{5p}}$$