Question 914921
<pre>

{{{(6/(z+7) +7/(z-6))/(6/(z-6)-7/(z+7))}}}

{{{(6/(z+7) +7/(z-6))}}}{{{"÷"}}}{{{(6/(z-6)-7/(z+7))}}}

Get LCD and combine the fractions in each

{{{(6(z-6)+7(z+7))/((z+7)(z-6))}}}{{{"÷"}}}{{{(6(z+7)-7(z-6))/((z-6)(z+7))}}}

{{{(6z-36+7z+49)/((z+7)(z-6))}}}{{{"÷"}}}{{{(6z+42-7z+42)/((z-6)(z+7))}}}

{{{(13z+13)/((z+7)(z-6))}}}{{{"÷"}}}{{{(84-z)/((z-6)(z+7))}}}

{{{(13(z+1))/((z+7)(z-6))}}}{{{"×"}}}{{{(z-6)(z+7)/(84-z)}}}

{{{(13(z+1))/((cross(z+7))(cross(z-6)))}}}{{{"×"}}}{{{(cross(z-6))(cross(z+7))/(84-z)}}}

{{{(13(z+1))/(84-z)}}}


Edwin</pre>