Question 201119
{{{((3x^2)/4)*(16/(x^3))}}} Start with the given expression.



{{{(3*16x^2)/(4x^3)}}} Combine the fractions.



{{{(3*4*4x^2)/(4x^3)}}} Factor 16 into 4*4



{{{(3*4*4x^2)/(4x^2*x)}}} Factor {{{x^3}}} into {{{x^2*x}}}



{{{(3*highlight(4)*4*highlight(x^2))/(highlight(4)*highlight(x^2)*x)}}} Highlight the common terms. 



{{{(3*cross(4)*4*cross(x^2))/(cross(4)*cross(x^2)*x)}}} Cancel out the common terms. 



{{{(3*4)/x}}} Simplify



{{{12/x}}} Multiply



So {{{((3x^2)/4)*(16/(x^3))=12/x}}}