SOLUTION: For the following combination of fractions, perform the arithmetic, remove improper fractions and reduce to lowest terms: ((1/2)*(3/4))/(1/6)

Algebra ->  Average -> SOLUTION: For the following combination of fractions, perform the arithmetic, remove improper fractions and reduce to lowest terms: ((1/2)*(3/4))/(1/6)       Log On


   

Question 648531: For the following combination of fractions, perform the arithmetic, remove improper fractions and reduce to lowest terms:
((1/2)*(3/4))/(1/6)
Found 2 solutions by lynnlo, Algebraic:
Answer by lynnlo(4176) About Me  (Show Source):
You can put this solution on YOUR website!
9/4 or reducing this to lowest term is
(2)1/4

Answer by Algebraic(50) About Me  (Show Source):
You can put this solution on YOUR website!
Original equation: %281%2F2%29%283%2F4%29%29%2F%281%2F6%29
Step 1: Multiply the fractions on the numerator
%281%2F2%29%283%2F4%29%29%2F%281%2F6%29
%283%2F8%29%2F%281%2F6%29
Step 2: To get rid of the bottom fraction, multiply by its reciprocal to the top and bottom
%283%2F8%29%2F%281%2F6%29
%283%2F8%29%286%2F1%29%2F%281%2F6%29%286%2F1%29
You are left with: %2818%2F8%29
Step 3: Reduce into lowest terms... both can be divided by '2'
%2818%2F8%29
%2818%29%2F%282%29%2F%288%29%2F%282%29%29
%289%2F4%29
Your answer would be %289%2F4%29, but since you said it couldn't be an improper fraction, let's make it a mixed fraction..
The mixed fraction that is equal to %289%2F4%29 is 2%281%2F4%29