Convert the mixed number to an improper fraction: $$3 \frac{1}{5} = \frac{16}{5}$$
Multiply the integer by the improper fraction: $$18 \times \frac{16}{5} = \frac{18 \times 16}{5}$$
Simplify the multiplication: $$ \frac{18 \times 16}{5} = \frac{288}{5}$$
Convert back to a mixed number if necessary: $$ \frac{288}{5} = 57 \frac{3}{5}$$
Final answer: $$57 \frac{3}{5}$$
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