Question: What is $-\frac{1}{3} \times 2$
1. **State the problem:** We need to find the product of $-\frac{1}{3}$ and $2$.
2. **Formula used:** Multiplication of a fraction by a whole number is done by multiplying the numerator by the whole number and keeping the denominator the same.
3. **Calculation:**
$$-\frac{1}{3} \times 2 = \frac{-1 \times 2}{3} = \frac{-2}{3}$$
4. **Explanation:** Multiplying $-\frac{1}{3}$ by $2$ means doubling the numerator $-1$ to get $-2$, while the denominator remains $3$.
5. **Final answer:**
$$-\frac{2}{3}$$