1. **State the problem:** Evaluate the expression $$\frac{2}{5} + \frac{3}{5} \times \frac{3}{4}$$ and write the answer as a fraction. 2. **Recall the order of operations:** Multiplication comes before addition. 3. **Multiply the fractions:** $$\frac{3}{5} \times \frac{3}{4} = \frac{3 \times 3}{5 \times 4} = \frac{9}{20}$$ 4. **Add the fractions:** $$\frac{2}{5} + \frac{9}{20}$$ 5. **Find a common denominator:** The least common denominator of 5 and 20 is 20. 6. **Convert $$\frac{2}{5}$$ to twentieths:** $$\frac{2}{5} = \frac{2 \times 4}{5 \times 4} = \frac{8}{20}$$ 7. **Add the fractions with common denominator:** $$\frac{8}{20} + \frac{9}{20} = \frac{8 + 9}{20} = \frac{17}{20}$$ 8. **Final answer:** $$\boxed{\frac{17}{20}}$$