To divide fractions, we can multiply by the reciprocal of the second fraction.
Given the expression:
\[ -\frac{6}{25} \div \frac{3}{5} \]
We can rewrite it as:
\[ -\frac{6}{25} \times \frac{5}{3} \]
Now we multiply the fractions:
\[ -\frac{6 \times 5}{25 \times 3} = -\frac{30}{75} \]
Next, we simplify \(-\frac{30}{75}\):
The greatest common divisor of 30 and 75 is 15. So we divide both the numerator and the denominator by 15:
\[ -\frac{30 \div 15}{75 \div 15} = -\frac{2}{5} \]
Thus, the simplified result is:
\[ -\frac{2}{5} \]
The answer is:
B − 2/5