1. **State the problem:** Simplify the fraction $\frac{667}{28}$ if possible. 2. **Check for common factors:** To simplify a fraction, find the greatest common divisor (GCD) of the numerator and denominator. 3. **Calculate GCD:** - Factors of 667: 1, 23, 29, 667 - Factors of 28: 1, 2, 4, 7, 14, 28 - Common factors: 1 only 4. Since the only common factor is 1, the fraction $\frac{667}{28}$ is already in simplest form. 5. **Convert to mixed number (optional):** - Divide 667 by 28: $$667 \div 28 = 23 \text{ remainder } 23$$ - So, $$\frac{667}{28} = 23 \frac{23}{28}$$ **Final answer:** $\frac{667}{28}$ or as a mixed number $23 \frac{23}{28}$.