36. 2 \(\frac{1}{2}\) \(\cdot\) 4 \(\frac{2}{15}\)

1. Convert mixed numbers to improper fractions: $$2 \frac{1}{2} = \frac{5}{2}$$ and $$4 \frac{2}{15} = \frac{62}{15}$$.
2. Multiply: $$\frac{5}{2} \cdot \frac{62}{15} = \frac{5 \cdot 62}{2 \cdot 15} = \frac{310}{30}$$.
3. Simplify and convert to mixed number: $$\frac{310}{30} = \frac{31}{3} = 10 \frac{1}{3}$$.