1. The problem is to solve the expression $3 \times 1 \frac{1}{3}$. 2. First, convert the mixed number $1 \frac{1}{3}$ to an improper fraction. $$1 \frac{1}{3} = \frac{3 \times 1 + 1}{3} = \frac{4}{3}$$ 3. Now multiply $3$ by $\frac{4}{3}$. $$3 \times \frac{4}{3} = \frac{3}{1} \times \frac{4}{3}$$ 4. Cancel the common factor $3$ in numerator and denominator. $$\frac{\cancel{3}}{1} \times \frac{4}{\cancel{3}} = \frac{4}{1}$$ 5. Simplify the fraction to get the final answer. $$\frac{4}{1} = 4$$ Therefore, $3 \times 1 \frac{1}{3} = 4$.