3/4 divided by (-5/2)

To divide fractions, you need to multiply the first fraction by the reciprocal (inverted) of the second fraction. In this case, the reciprocal of (-5/2) is (-2/5).

So, the division 3/4 ÷ (-5/2) can be written as:

(3/4) * (-2/5)

To multiply fractions, you simply multiply the numerators together and the denominators together.

So, (3/4) * (-2/5) = (3 * -2) / (4 * 5) = -6/20

The fraction -6/20 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2.

So, -6/20 simplifies to -3/10.

Therefore, 3/4 ÷ (-5/2) = -3/10.