Divide −3/17

Question

by −2/3
(1 point)
Responses

9/34
9 over 34

2/17
2 over 17

−2/17
negative 2 over 17

−9/34

Answer 1

To divide \(-\frac{3}{17}\) by \(-\frac{2}{3}\), we can multiply by the reciprocal of the second fraction:

\[ -\frac{3}{17} \div -\frac{2}{3} = -\frac{3}{17} \times -\frac{3}{2} \]

Now, multiplying the fractions:

\[ \frac{3 \times 3}{17 \times 2} = \frac{9}{34} \]

So, the answer is \(\frac{9}{34}\) or "9 over 34".