Use the distributive property to help simplify the numerical expression $$\frac{3}{5}\sqrt{5}+\frac{1}{4}\sqrt{80}$$ into the form $\frac{A}{B} \sqrt{C}$, where $A$, $B$, and $C$ are all positive integers, and $\frac{A}{B}$ is in lowest terms.

Answer: $A =$ , $B =$ , and $C =$

---