1. **State the problem:** Simplify the expression $$\frac{1}{4} - \frac{1}{8}$$ by finding a common denominator. 2. **Formula and rules:** To subtract fractions, they must have the same denominator. The common denominator is usually the least common multiple (LCM) of the denominators. 3. **Find the common denominator:** The denominators are 4 and 8. The LCM of 4 and 8 is 8. 4. **Rewrite each fraction with the common denominator:** $$\frac{1}{4} = \frac{1 \times 2}{4 \times 2} = \frac{2}{8}$$ $$\frac{1}{8} = \frac{1}{8}$$ 5. **Subtract the fractions:** $$\frac{2}{8} - \frac{1}{8} = \frac{2 - 1}{8} = \frac{1}{8}$$ 6. **Final answer:** $$\frac{1}{8}$$ The simplified result of $$\frac{1}{4} - \frac{1}{8}$$ is $$\frac{1}{8}$$.