1. Stating the problem: Calculate the value of the expression $1.8 + \frac{1}{5}$. 2. Convert the fraction to decimal: $\frac{1}{5} = 0.2$. 3. Add the decimals: $1.8 + 0.2 = 2.0$. 4. Final answer: The sum of $1.8$ and $\frac{1}{5}$ is $2.0$.