Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction: -9/4 divided by 9/2
To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of a fraction is found by flipping the numerator and denominator.
So, the reciprocal of 9/2 is 2/9.
Now, we can multiply:
-9/4 * 2/9 = (-9 * 2) / (4 * 9) = -18 / 36
To simplify the fraction, we notice that both the numerator and denominator can be divided by 18:
-18 / 36 = (-18 ÷ 18) / (36 ÷ 18) = -1 / 2
Therefore, the answer is -1/2.