To multiply \(-1.7\) by \(212\):
\[ -1.7 \times 212 = -360.4 \]
Now, we will convert \(-360.4\) into a mixed number.
First, separate the whole number from the decimal part:
- The whole number is \(-360\).
- The decimal part \(0.4\) can be expressed as a fraction:
\[ 0.4 = \frac{4}{10} = \frac{2}{5} \quad \text{(simplifying by dividing by 2)} \]
So, \(-360.4\) can be written as:
\[ -360 \frac{2}{5} \]
Thus, the final answer is:
\(-360 \frac{2}{5}\)