1. **State the problem:** Simplify the fraction $\frac{2444}{27}$. 2. **Formula and rules:** To simplify a fraction, divide numerator and denominator by their greatest common divisor (GCD). 3. **Find the GCD:** - Prime factorize 2444: $2444 = 2 \times 2 \times 611 = 2^2 \times 611$ - Prime factorize 27: $27 = 3 \times 3 \times 3 = 3^3$ - Since 2444 has no factor 3, GCD is 1. 4. **Simplify the fraction:** Since GCD is 1, fraction is already in simplest form: $$\frac{2444}{27}$$ 5. **Convert to mixed number (optional):** Divide 2444 by 27: $$2444 \div 27 = 90 \text{ remainder } 14$$ So, $$\frac{2444}{27} = 90 \frac{14}{27}$$ **Final answer:** $$\frac{2444}{27} = 90 \frac{14}{27}$$