Question

Reduce the following fraction: -36x4y4z5/-12x6y3z

Answer 1

The reduced expression is:

`(3\,y\,z^4)/(\,x^2)`

Explanation:

Start by cancelling out common factors in numerator and denominator (including the "-1" factor present in both):

`(-36\,x^4\,y^4\,z^5)/(-12\,x^6\,y^3\,z) = (3\,x^4\,y^4\,z^5)/(\,x^6\,y^3\,z) =(3\,y^4\,z^5)/(\,x^2\,y^3\,z) =(3\,y\,z^5)/(\,x^2\,z) =(3\,y\,z^4)/(\,x^2)`

where we did cancellations of first numerical factors, and then the variables addressing one at a time.