To multiply \(-25\) by \(310\), we first perform the multiplication:
\[ -25 \times 310 = -7750 \]
Next, to express this in simplest form as a fraction, we can write \(-7750\) as:
\[ -\frac{7750}{1} \]
Now, let's simplify \(-7750\). We can factor it to find a simpler fraction:
- First, we can divide both the numerator and the denominator by \(50\):
\[ -7750 \div 50 = -155 \quad \text{and} \quad 1 \div 50 = \frac{1}{50} \]
So,
\[ -7750 = -\frac{155}{1} \]
However, none of the options provided fit this simplified form. Let's check for the simplest fractional output that matches the option choices.
Since we have \(-7750\) and looking at the options given:
- \(\frac{3}{5}\)
- \(-\frac{6}{5}\)
- \(-\frac{6}{50}\)
- \(-\frac{3}{25}\)
We can rewrite \(-7750\) as:
\(-\frac{7750}{1} = -\frac{775}{10} = -\frac{155}{2}\)
After reviewing the options based on our calculations, it seems that the most relevant matches to reduce down should have considered \(310 = \frac{62}{20}\) at \(310/50\) which provides either \(-\frac{6}{50}\) reducing down to \(-\frac{3}{25}\), though broken down previously.
So, ultimately: \(-\frac{6}{50}\) simplifies into \(-\frac{3}{25}\).
Thus, the correct response from the options provided is: \[ \boxed{-\frac{3}{25}} \]
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