-4/17 divide by -3/4 please explain thoroughly

Answer 1

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) ÷ (-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) × (-4/3)

To multiply fractions, we simply multiply the numerators together and the denominators together:

(-4 × -4) / (17 × 3)

= (16) / (51)

Therefore, -4/17 divided by -3/4 equals 16/51.