Simplify. \( \frac{6}{25}+\frac{1}{5} \cdot \frac{2}{5} \)

To simplify the expression \( \frac{6}{25}+\frac{1}{5} \cdot \frac{2}{5} \), we first calculate \( \frac{1}{5} \cdot \frac{2}{5} \). Multiplying the fractions gives: \[ \frac{1 \cdot 2}{5 \cdot 5} = \frac{2}{25} \] Now, we can add this to \( \frac{6}{25} \): \[ \frac{6}{25} + \frac{2}{25} = \frac{6 + 2}{25} = \frac{8}{25} \] Thus, the simplified expression is: \[ \frac{8}{25} \]