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A car travels 83 7/10 miles on 2 1/4 gallons of fuel which is the best estimate of miles the car travels on one gallon of fuel

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To solve this problem we can use proportion, but first its nice to transform our fraction into improper fraction, so

83 (7)/(10)= (837)/(10)
and

2 (1)/(4)= (9)/(4)
Now we can make proportion


(837)/(10)--------------------------
(9)/(4) of fuel
x-----------------------------
1
Now we can cross multiply


x= ( (837)/(10) )/( (9)/(4) )= (837)/(10)* (4)/(9) = (3348)/(90)=37.2 - its the result
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