1. **State the problem:** Calculate the value of $\frac{2}{3} \times 8$. 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. **Intermediate work:** $$\frac{2}{3} \times 8 = \frac{2 \times 8}{3} = \frac{16}{3}$$ 4. **Simplify if possible:** The fraction $\frac{16}{3}$ is an improper fraction and cannot be simplified further. 5. **Convert to mixed number (optional):** $$\frac{16}{3} = 5 \frac{1}{3}$$ 6. **Final answer:** The product of $\frac{2}{3}$ and $8$ is $\frac{16}{3}$ or $5 \frac{1}{3}$.