1. The problem is to simplify the expression $5 \div \frac{2}{3}$. 2. Division by a fraction is the same as multiplication by its reciprocal. The reciprocal of $\frac{2}{3}$ is $\frac{3}{2}$. 3. So, rewrite the expression as $5 \times \frac{3}{2}$. 4. Multiply the whole number by the numerator: $5 \times 3 = 15$. 5. Now divide by the denominator: $\frac{15}{2}$. 6. The simplest form of $5 \div \frac{2}{3}$ is $\frac{15}{2}$ or $7.5$.