From the question;
we are to simplify
[tex]\frac{15x^3y^2z^2}{45xyz}[/tex]simplifying by splitting common terms
[tex]\frac{15x^3y^2z^2}{45xyz}\text{ = }\frac{15}{45}\text{ }\times\frac{x^3}{x}\text{ }\times\text{ }\frac{y^2}{y}\text{ }\times\text{ }\frac{z^2}{z}[/tex]The next step is to divide
hence we get
[tex]\frac{1}{3}\text{ }\times x^2\text{ x y }\times z[/tex]multiplying to get
[tex]\frac{x^2yz}{3}[/tex]This implies
[tex]\frac{15x^3y^2z^2}{45xyz}=\text{ }\frac{x^2yz}{3}[/tex]