1. **State the problem:** Simplify the fraction $\frac{14775000}{8650}$. 2. **Formula and rules:** To simplify a fraction, divide numerator and denominator by their greatest common divisor (GCD). 3. **Find the GCD:** - Prime factorize numerator and denominator or use Euclidean algorithm. 4. **Calculate GCD using Euclidean algorithm:** - $14775000 \div 8650 = 1708$ remainder $7400$ - $8650 \div 7400 = 1$ remainder $1250$ - $7400 \div 1250 = 5$ remainder $1150$ - $1250 \div 1150 = 1$ remainder $100$ - $1150 \div 100 = 11$ remainder $50$ - $100 \div 50 = 2$ remainder $0$ So, $\text{GCD} = 50$. 5. **Simplify the fraction:** $$\frac{14775000}{8650} = \frac{\cancel{50} \times 295500}{\cancel{50} \times 173} = \frac{295500}{173}$$ 6. **Final answer:** The simplified fraction is $\frac{295500}{173}$. This fraction cannot be simplified further because 173 is prime and does not divide 295500 evenly.