Dimensional analysis

[Shergo21]

[h=2]Need in fraction form. Gas sells for 1.2 euros/liter . What is the price in US Dollars per gallon? (1 gal=3.785Liter & exchange rate $ to foreign $1.256 to .7965)[/h]

 

[Deleted member 4993]

Need in fraction form. Gas sells for 1.2 euros/liter . What is the price in US Dollars per gallon? (1 gal=3.785Liter & exchange rate $ to foreign $1.256 to .7965)

It is a problem involving proportionality.

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[HallsofIvy]

Need in fraction form. Gas sells for 1.2 euros/liter . What is the price in US Dollars per gallon? (1 gal=3.785Liter & exchange rate $ to foreign $1.256 to .7965)

Since you title this "dimensional analysis" you should know to look at the dimensions. You want to change from "euros/liter" to "dollars/gal" so you want to divide by Euros while multiplying by dollars and multiply by liters while dividing by gallons. In other words you want to multiply (1.2 Euros/liter)(? dollars/Euro)(? liters/gallon). You need "unit fractions"- that is fractions that are equal to 1. "1 gal= 3.785 liter" is (dividing both sides by "gal"), 1= 3.785 liters/gal. "$1.256= .7965 Euros" is 1= 1.256/.7965 dollars/Euro= 1.5769 dollars/Euro.