Question 104971
{{{(3/4)/(4/5)=5(3/4)/5(4/5)}}} Multiply numerator and denominator by 5. 
{{{(3/4)/(4/5)=(5*3)/(4*4)}}}
{{{(3/4)/(4/5)=15/16}}}
The quicker way is to remember that division by a fraction is the same as multiplication by the reciprocal of the fraction. 
Reciprocal of 4/5 is 5/4. 
{{{(3/4)/(4/5)=(3/4)*(5/4)}}}
{{{(3/4)/(4/5)=15/16}}}