Question: User: $\frac{a}{2}+\frac{a-2}{1}$
1. **State the problem:** Simplify the expression $$\frac{a}{2}+\frac{a-2}{1}$$.
2. **Identify the formula and rules:** To add fractions, they must have a common denominator. Here, the denominators are 2 and 1.
3. **Find a common denominator:** The least common denominator (LCD) of 2 and 1 is 2.
4. **Rewrite each fraction with the LCD:**
$$\frac{a}{2} + \frac{a-2}{1} = \frac{a}{2} + \frac{(a-2) \times 2}{1 \times 2} = \frac{a}{2} + \frac{2(a-2)}{2}$$
5. **Combine the fractions:**
$$\frac{a + 2(a-2)}{2}$$
6. **Simplify the numerator:**
$$a + 2(a-2) = a + 2a - 4 = 3a - 4$$
7. **Write the simplified expression:**
$$\frac{3a - 4}{2}$$
**Final answer:** $$\frac{3a - 4}{2}$$