To divide \(-\frac{3}{17}\) by \(-\frac{2}{3}\), you can multiply by the reciprocal of the second fraction.
Here’s how to do it:
\[ -\frac{3}{17} \div -\frac{2}{3} = -\frac{3}{17} \times -\frac{3}{2} \]
Now, multiply the numerators and the denominators:
\[ = \frac{3 \times 3}{17 \times 2} = \frac{9}{34} \]
So, \(-\frac{3}{17} \div -\frac{2}{3} = \frac{9}{34}\).
The correct response is:
9/34.