Question 132140
{{{((3z-24)/(25))/((z-8)/(10z))}}} Start with the given expression


{{{((3z-24)/(25))*((10z)/(z-8))}}} Multiply the first fraction by the reciprocal of the second fraction



{{{((3(z-8))/(25))((10z)/(z-8))}}}   Factor {{{3z-24}}} to get {{{3(z-8)}}} 



{{{(3(z-8)10z)/(25(z-8))}}}   Combine the fractions



{{{(3cross((z-8))10z)/25cross((z-8))}}}   Cancel like terms



{{{(30z)/25}}} Multiply


{{{6z/5}}} Reduce



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Answer:



So {{{((3z-24)/(25))/((z-8)/(10z))}}} simplifies to {{{6z/5}}}