1. **Problem statement:** A roll of crimson ribbon is $5 \frac{2}{5}$ meters long. The length of a roll of crimson silk strip woven from this ribbon is $\frac{2}{3}$ of the length of the crimson ribbon. Find the length of the crimson silk strip. 2. **Formula and rules:** To find the length of the silk strip, multiply the length of the ribbon by $\frac{2}{3}$. 3. **Convert mixed number to improper fraction:** $$5 \frac{2}{5} = \frac{5 \times 5 + 2}{5} = \frac{25 + 2}{5} = \frac{27}{5}$$ 4. **Calculate the length of the silk strip:** $$\text{Length} = \frac{2}{3} \times \frac{27}{5} = \frac{2 \times 27}{3 \times 5} = \frac{54}{15}$$ 5. **Simplify the fraction:** $$\frac{54}{15} = \frac{18}{5} = 3 \frac{3}{5}$$ 6. **Answer:** The length of the crimson silk strip is $3 \frac{3}{5}$ meters. Therefore, the correct choice is **B. 3 3/5 米**.