To divide the fractions \(-\frac{4}{17}\) by \(-\frac{3}{4}\), you can multiply by the reciprocal of the second fraction.
Here's the calculation:
\[ -\frac{4}{17} \div -\frac{3}{4} = -\frac{4}{17} \times -\frac{4}{3} \]
When multiplying by the reciprocals:
\[ = \frac{4 \times 4}{17 \times 3} = \frac{16}{51} \]
So, the correct answer is:
16/51
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