1. The problem states that Dexter is converting the improper fraction $\frac{32}{3}$ and claims it equals $3 \frac{2}{3}$. We need to check if this is correct. 2. Recall that an improper fraction is a fraction where the numerator is larger than the denominator. To convert it to a mixed number, divide the numerator by the denominator. 3. Divide 32 by 3: $$32 \div 3 = 10 \text{ remainder } 2$$ 4. This means: $$\frac{32}{3} = 10 \frac{2}{3}$$ 5. Dexter's answer was $3 \frac{2}{3}$, which is incorrect because the whole number part should be 10, not 3. 6. Therefore, Dexter made a mistake in the division step or misunderstood the conversion process. Final answer: Dexter is incorrect because $\frac{32}{3} = 10 \frac{2}{3}$, not $3 \frac{2}{3}$.