SOLUTION: My question asks me to show how to convert 8 quarts to gallons using a unit multiplier. (1 gal = 4 qt) I know the answer but I am having trouble writing the conversion.

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Question 144419: My question asks me to show how to convert 8 quarts to gallons using a unit multiplier. (1 gal = 4 qt)
I know the answer but I am having trouble writing the conversion.
Found 2 solutions by nabla, Edwin McCravy:
Answer by nabla(475) About Me  (Show Source):
You can put this solution on YOUR website!
(8 quarts)*(1 gallon)/(4 quarts)=2 gallons.
Note that by multiplying 8 quarts by (1 gallon)/(4 quarts), we are just multiplying by 1. However, the "quarts" units cancel leaving only gallons.

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
My question asks me to show how to convert 8 quarts to gallons using a unit multiplier. (1 gal = 4 qt)
I know the answer but I am having trouble writing the conversion.


Put 8qt over 1

%28%288qt%29%2F1%29

Now we use 1gal=4qt to make a unit fraction, that is,
one which equals 1.  We have to choose which of these unit 
fractions we need to multiply by.  Our choices are the unit
fractions %28%281gal%29%2F%284qt%29%29 and %28%284qt%29%2F%281gal%29%29.  We will choose the one with qt 
on the bottom to multiply by, so that it will cancel 
with the qt in the numerator. So we multiply by %28%281gal%29%2F%284qt%29%29

%28%288qt%29%2F1%29%28%281gal%29%2F%284qt%29%29

Now we cancel the qt's:

%28%288cross%28qt%29%29%2F1%29%28%281gal%29%2F%284cross%28qt%29%29%29

We can also cancel the 4 into the 8 and get 2
 2
%28%28cross%288%29cross%28qt%29%29%2F1%29%28%281gal%29%2F%28cross%284%29cross%28qt%29%29%29

That leaves

%282%2A1gal%29%2F1

or

2gal

Edwin