1. The problem is to compute the value of the expression $$\frac{1}{12} + \frac{2}{6} - \frac{2}{8}$$. 2. First, find a common denominator for the fractions. The denominators are 12, 6, and 8. 3. The least common denominator (LCD) of 12, 6, and 8 is 24. 4. Convert each fraction to an equivalent fraction with denominator 24: - $$\frac{1}{12} = \frac{1 \times 2}{12 \times 2} = \frac{2}{24}$$ - $$\frac{2}{6} = \frac{2 \times 4}{6 \times 4} = \frac{8}{24}$$ - $$\frac{2}{8} = \frac{2 \times 3}{8 \times 3} = \frac{6}{24}$$ 5. Now substitute back: $$\frac{2}{24} + \frac{8}{24} - \frac{6}{24}$$ 6. Combine the numerators: $$\frac{2 + 8 - 6}{24} = \frac{4}{24}$$ 7. Simplify the fraction by dividing numerator and denominator by 4: $$\frac{4 \div 4}{24 \div 4} = \frac{1}{6}$$ Final answer: $$\frac{1}{6}$$