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.