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When dividing fractions, we multiply the first fraction by the reciprocal of the second fraction.
So, dividing -4/17 by -3/4 can be written as:
(-4/17) รท (-3/4)
To simplify this division, we need to find the reciprocal of the second fraction, which is flipping it over. So, the reciprocal of -3/4 is -4/3.
Now, we can multiply the first fraction by the reciprocal:
(-4/17) ร (-4/3)
To multiply fractions, we simply multiply the numerators together and the denominators together:
(-4 ร -4) / (17 ร 3)
= (16) / (51)
Therefore, -4/17 divided by -3/4 equals 16/51.