1. **State the problem:** Simplify the expression $$\frac{7}{c} + \frac{3}{2}$$ into a single fraction. 2. **Formula and rules:** To add fractions, they must have a common denominator. The common denominator is the least common multiple (LCM) of the denominators. 3. **Find the common denominator:** The denominators are $c$ and $2$. The LCM is $2c$. 4. **Rewrite each fraction with the common denominator:** $$\frac{7}{c} = \frac{7 \times 2}{c \times 2} = \frac{14}{2c}$$ $$\frac{3}{2} = \frac{3 \times c}{2 \times c} = \frac{3c}{2c}$$ 5. **Add the fractions:** $$\frac{14}{2c} + \frac{3c}{2c} = \frac{14 + 3c}{2c}$$ 6. **Final answer:** The expression as a single fraction is $$\boxed{\frac{14 + 3c}{2c}}$$ This is the simplest form unless further factorization is possible, which it is not here.