1. **State the problem:** We need to find the sum of $\frac{2}{5}$ and 6. 2. **Write the expression:** $$\frac{2}{5} + 6$$ 3. **Convert the whole number to a fraction:** Since 6 is a whole number, we can write it as $\frac{6}{1}$. 4. **Find a common denominator:** The denominators are 5 and 1. The least common denominator (LCD) is 5. 5. **Rewrite the fractions with the LCD:** $$\frac{2}{5} + \frac{6 \times 5}{1 \times 5} = \frac{2}{5} + \frac{30}{5}$$ 6. **Add the fractions:** $$\frac{2 + 30}{5} = \frac{32}{5}$$ 7. **Convert to a mixed number (optional):** $$\frac{32}{5} = 6 \frac{2}{5}$$ **Final answer:** $$\frac{2}{5} + 6 = \frac{32}{5} = 6 \frac{2}{5}$$