Okay, let's solve the problem step by step.
We need to add two fractions: $$\frac{p+3}{p+4} + \frac{p+2}{p+4}$$
Since the denominators are the same, we can add the numerators directly:
$$\frac{p+3 + p+2}{p+4}$$
Now, combine like terms in the numerator:
$$\frac{2p+5}{p+4}$$
So, the simplified expression is: $$\frac{2p+5}{p+4}$$
Answer: $$\frac{2p+5}{p+4}$$