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

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: \[ \frac{a+4+3b}{2a} \]