1. The problem is to simplify the fraction $\frac{200}{800}$. 2. The formula to simplify a fraction is to divide the numerator and denominator by their greatest common divisor (GCD). 3. Find the GCD of 200 and 800. Since 800 is divisible by 200, the GCD is 200. 4. Divide numerator and denominator by 200: $$\frac{200 \div 200}{800 \div 200} = \frac{1}{4}$$ 5. Therefore, the simplified form of $\frac{200}{800}$ is $\frac{1}{4}$.