1. Let's solve a fraction problem: Simplify the expression $$\frac{6}{8} + \frac{3}{4}$$. 2. The formula to add fractions is $$\frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd}$$ where $a$, $b$, $c$, and $d$ are integers and $b, d \neq 0$. 3. First, find a common denominator for $\frac{6}{8}$ and $\frac{3}{4}$. The denominators are 8 and 4. The least common denominator (LCD) is 8. 4. Convert $\frac{3}{4}$ to have denominator 8: $$\frac{3}{4} = \frac{3 \times 2}{4 \times 2} = \frac{6}{8}$$. 5. Now add the fractions: $$\frac{6}{8} + \frac{6}{8} = \frac{6 + 6}{8} = \frac{12}{8}$$. 6. Simplify $\frac{12}{8}$ by dividing numerator and denominator by their greatest common divisor (GCD), which is 4: $$\frac{12}{8} = \frac{\cancel{4} \times 3}{\cancel{4} \times 2} = \frac{3}{2}$$. 7. The simplified result is $$\frac{3}{2}$$ or 1.5 in decimal form. This shows how to add and simplify fractions step-by-step.