1. **State the problem:** We need to divide $w$ by 3, then multiply $v$ by the result. 2. **Write the expression:** Dividing $w$ by 3 is written as $\frac{w}{3}$. 3. **Multiply $v$ by the result:** Multiply $v$ by $\frac{w}{3}$, which gives $v \times \frac{w}{3}$. 4. **Simplify the expression:** Multiplying $v$ and $\frac{w}{3}$ results in $\frac{vw}{3}$. 5. **Final answer:** The expression for "divide $w$ by 3, then multiply $v$ by the result" is $$\frac{vw}{3}$$ This means you first divide $w$ by 3, then multiply that quotient by $v$.