The total weight of Ira's two pets is the sum of the weight of each pet. So we need to sum the weight of the puppy and the kitten.
[tex]\begin{gathered} \text{total = }\frac{3}{4}\text{ + }\frac{1}{5} \\ \text{total = }\frac{3\cdot4\text{ + 4}\cdot1}{20}\text{ = }\frac{12+4}{20}\text{ = }\frac{16}{20}\text{ = }\frac{4}{5} \end{gathered}[/tex]The total weight of Ira's pets is 4/5 pounds.