Answer
-9/8
Work Step by Step
In this problem, we are dividing by a fraction. However, we are never supposed to divide by a fraction. Rather, we must multiply by the reciprocal of the fraction. The reciprocal of a fraction is that fraction with the numerator (top of the fraction) and denominator (bottom of the fraction) switched. Thus, we simplify to find:
9/10$\div$(-4/5)=9/10$\times$(-5/4)=-45/40=-9/8
Note, the answer is negative, for a negative times a positive or a positive times a negative is a negative.
