1. **State the problem:** Simplify the fraction $\frac{597,250}{178,500}$. 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:** - $597,250 \div 178,500 = 3$ remainder $62,750$ - $178,500 \div 62,750 = 2$ remainder $53,000$ - $62,750 \div 53,000 = 1$ remainder $9,750$ - $53,000 \div 9,750 = 5$ remainder $2,750$ - $9,750 \div 2,750 = 3$ remainder $500$ - $2,750 \div 500 = 5$ remainder $250$ - $500 \div 250 = 2$ remainder $0$ So, GCD is $250$. 5. **Divide numerator and denominator by GCD:** $$\frac{597,250}{178,500} = \frac{597,250 \div 250}{178,500 \div 250} = \frac{2,389}{714}$$ 6. **Final answer:** The simplified fraction is $\frac{2,389}{714}$.