To solve the expression \(-2 + \frac{2}{5}\), you can follow these steps:
Convert \(-2\) into a fraction with a denominator of 5. This can be done by multiplying \(-2\) by \(\frac{5}{5}\): \[ -2 = -\frac{2 \times 5}{5} = -\frac{10}{5} \]
Now, you can add the two fractions: \[ -\frac{10}{5} + \frac{2}{5} = \frac{-10 + 2}{5} = \frac{-8}{5} \]
So, \(-2 + \frac{2}{5} = -\frac{8}{5}\).
If you also want the decimal representation, \(-\frac{8}{5} = -1.6\).
Thus, the final answer is: \[ -\frac{8}{5} \text{ or } -1.6 \]