<PRE><B>Question 63091</B>
{{{ ((9x^2-16)/(20x^2-24x))/((3x^2-5x-12)/(5x^2-x-6)) }}}
factor all parts
{{{ (((3x-4)(3x+4))/(4x(5x-6)))/(((3x+4)(x-3))/((5x-6)(1x+1))) }}}
Memorize this rule:
{{{ (a/b)/(c/d) = ad/bc }}}
Apply this rule
{{{ ((3x-4)(3x+4)(5x-6)(1x+1))/((4x(5x-6))(3x+4)(x-3)) }}}
cancel like quantities (reduce)
{{{ ((3x-4)(1x+1))/(4x(x-3)) }}}
This can not be reduced any further 
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