1. **State the problem:** Simplify the expression $\frac{2}{800 + 98}$. 2. **Add the numbers in the denominator:** $$800 + 98 = 898$$ 3. **Rewrite the expression:** $$\frac{2}{898}$$ 4. **Simplify the fraction by finding the greatest common divisor (GCD) of 2 and 898:** - The GCD of 2 and 898 is 2. 5. **Divide numerator and denominator by the GCD:** $$\frac{\cancel{2}}{\cancel{898}} = \frac{1}{449}$$ 6. **Final answer:** $$\frac{1}{449}$$ This is the simplest form of the fraction.