1. Stated problem: Calculate the value of $$\frac{3}{5} + 7$$. 2. Convert the integer 7 to a fraction with the same denominator as $$\frac{3}{5}$$ for easier addition: $$7 = \frac{7 \times 5}{5} = \frac{35}{5}$$. 3. Now add the fractions: $$\frac{3}{5} + \frac{35}{5} = \frac{3 + 35}{5} = \frac{38}{5}$$. 4. The fraction $$\frac{38}{5}$$ is the exact answer. To write it as a mixed number, divide 38 by 5: $$38 \div 5 = 7$$ remainder $$3$$. 5. Hence, $$\frac{38}{5} = 7 \frac{3}{5}$$. Final answer: $$\frac{38}{5}$$ or $$7 \frac{3}{5}$$.