1. The problem is to simplify the fraction $\frac{6887500}{7250}$. 2. To simplify a fraction, we divide the numerator and denominator by their greatest common divisor (GCD). 3. First, find the GCD of 6887500 and 7250. 4. Both numbers end with zeros, so we can factor out powers of 10. 5. $6887500 = 68875 \times 100$ and $7250 = 725 \times 10$. 6. Simplify the fraction by canceling common factors of 10: $$\frac{6887500}{7250} = \frac{68875 \times \cancel{100}}{725 \times \cancel{10}} = \frac{68875 \times 10}{725}$$ 7. Now simplify $\frac{688750}{725}$. 8. Divide numerator and denominator by 25 (since 25 divides 725): $$\frac{688750}{725} = \frac{\cancel{25} \times 27550}{\cancel{25} \times 29} = \frac{27550}{29}$$ 9. Now divide 27550 by 29: $$27550 \div 29 = 950$$ 10. So the simplified fraction is: $$\frac{6887500}{7250} = 950 \times 10 = 9500$$ Final answer: $9500$