Final answer:
To divide -(9/10) by (45/2) you should really multiply by the reciprocal, resulting in -(9/10) * (2/45), which simplifies to -0.04
Step-by-step explanation:
First, you must understand that when dividing by a fraction, it's important to multiply by its reciprocal. So, the original problem changes from -(9/10) divided by (45/2) to -(9/10) multiplied by (2/45).
After you multiply, you get -((9*2)/(10*45)), which simplifies to -(18/450), or -0.04 in the simplest form when the numerator and denominator are divided by their greatest common factor, 450.
Thus, the quotient in its simplest form is -0.04.
Learn more about Fraction Division