Question: User: 4566/6000
1. **State the problem:** Simplify the fraction $$\frac{4566}{6000}$$.
2. **Formula and rules:** To simplify a fraction, divide the numerator and denominator by their greatest common divisor (GCD).
3. **Find the GCD:**
- Prime factorization of 4566: $$4566 = 2 \times 3 \times 761$$
- Prime factorization of 6000: $$6000 = 2^4 \times 3 \times 5^3$$
- Common factors: $$2 \times 3 = 6$$
- So, $$\text{GCD}(4566,6000) = 6$$
4. **Divide numerator and denominator by GCD:**
$$\frac{4566}{6000} = \frac{\cancel{6} \times 761}{\cancel{6} \times 1000} = \frac{761}{1000}$$
5. **Final answer:** The simplified fraction is $$\frac{761}{1000}$$.