\begin{tabular}{|l|l} Simplify. \\ \( \frac{6}{25}+\frac{1}{5} \cdot \frac{2}{5} \) & \( \begin{array}{l}\text { The answer is } \\ \text { (Type an integer or a }\end{array} \) \\ simplified fraction.) \end{tabular}

To simplify the expression \( \frac{6}{25} + \frac{1}{5} \cdot \frac{2}{5} \), we start with the multiplication part: \[ \frac{1}{5} \cdot \frac{2}{5} = \frac{2}{25} \] Now, we add this result to \( \frac{6}{25} \): \[ \frac{6}{25} + \frac{2}{25} = \frac{6 + 2}{25} = \frac{8}{25} \] Thus, the simplified answer is \( \frac{8}{25} \).