SOLUTION: Simplify. 3/4 divided by 4/5

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Question 104971: Simplify. 3/4 divided by 4/5

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
%283%2F4%29%2F%284%2F5%29=5%283%2F4%29%2F5%284%2F5%29 Multiply numerator and denominator by 5.
%283%2F4%29%2F%284%2F5%29=%285%2A3%29%2F%284%2A4%29
%283%2F4%29%2F%284%2F5%29=15%2F16
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.
%283%2F4%29%2F%284%2F5%29=%283%2F4%29%2A%285%2F4%29
%283%2F4%29%2F%284%2F5%29=15%2F16