(a) $$ \frac{2+b}{a}+\frac{a+b}{2 a} $$

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1. Start with the expression:  
   $$
   \frac{2+b}{a}+\frac{a+b}{2a}
   $$

2. Find a common denominator for the two fractions. The common denominator is $$2a$$. Rewrite the first fraction by multiplying the numerator and denominator by $$2$$:
   $$
   \frac{2(2+b)}{2a}+\frac{a+b}{2a}
   $$

3. Combine the fractions:
   $$
   \frac{2(2+b) + (a+b)}{2a}
   $$

4. Expand $$2(2+b)$$:
   $$
   2(2+b) = 4+2b
   $$

5. Substitute back into the expression:
   $$
   \frac{4+2b+a+b}{2a}
   $$

6. Combine like terms in the numerator:
   $$
   4+2b+a+b = a+4+3b
   $$

7. Write the final simplified form:
   $$
   \frac{a+4+3b}{2a}
   $$
The simplified expression is $$ \frac{a + 4 + 3b}{2a} $$.

(a) \( \frac{2+b}{a}+\frac{a+b}{2 a} \)

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