[tex]\frac{-6xy^{3}z^5}{-36x^{2}y^{2}z^4}[/tex]
First cross out the -6 and -36. Six will go into 6 one time and 6 will go into -36 six times so we have the following after crossing out.
[tex]\frac{-6xy^{3}z^5}{-36x^{2}y^{2}z^4}[/tex]
[tex]\frac{xy^{3}z^5}{6x^{2}y^{2}z^4}[/tex] <---After crossing out
Next cross out the x / x^2 which will give us the following:
[tex]\frac{xy^{3}z^5}{6x^{2}y^{2}z^4}[/tex]
[tex]\frac{y^{3}z^5}{6xy^{2}z^4}[/tex] <---After crossing out
Now cross out the y^2 / y^3
[tex]\frac{y^{3}z^5}{6xy^{2}z^4}[/tex]
[tex]\frac{yz^5}{6xz^4}[/tex] <----After crossing out
All that is left is to cross out the z^5 / z^4 and we are done.
[tex]\frac{yz^5}{6xz^4}[/tex]
[tex]\frac{yz}{6x}[/tex] <----After crossing out and we are done.
[tex]\frac{-6xy^{3}z^5}{-36x^{2}y^{2}z^4} = \frac{yz}{6x}[/tex]