Alexander G. answered 07/17/19
University student working on an engineering major
There are two easy methods I can think of for this problem.
Method 1: Fractions in a fraction
Consider; (9/5) / (-6/5)
Here, you can eliminate the five on both sides because 5/5=1, and they’re in the same general position in relation to the subject fractions.
(9/5) / (-6/5) = 9/(-6)= -3/2
This is as far down as it will go in terms of whole numbers, unless you wish to use decimal numbers, in which case, the final answer would be -1.5
Method 2: Inverse fraction
With this method, dividing by a fraction would be the same as multiplying by it’s inverse
The inverse of -6/5 is 5/(-6)
Therefore...
(9/5)*(5/(-6))=(9*5)/(5*-6)
Again, we can eliminate 5 because 5/5=1
(9*5)/(5*-6)=9/(-6) = -3/2
Again, this is as far down as it will go in terms of whole numbers. 1.5 is the decimal equivalent.