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)   (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)   (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  over 



Now we use  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  and .  We will choose the one with  
on the bottom to multiply by, so that it will cancel 
with the  in the numerator. So we multiply by 



Now we cancel the 's:



We can also cancel the  into the  and get 
 


That leaves



or



Edwin

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