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It depends on your mileage. I'll give you the general equation, and also an example.
Where G is your mileage in miles per gallon,
1657 miles / (G miles/gallon) = 1657/G gallons
e.g. at 20 MPG, that's 82.85 gallons. At the US average of $2.817 per gallon, that's about $233.39.
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