Ellie's car used 1 2/3 gallons to travel 28 3/4 miles. How many miles can the car go on one gallon of gas?
we know that
1 2/3 gal ---------> 28 3/4 miles
step 1
Convert mixed number to an improper fraction
1 2/3=1+2/3=5/3 gal
28 3/4 =28+3/4=115/4 miles
step 2
Applying proportion
(115/4)/(5/3)=x/1
solve for x
x=(115/4)/(5/3)
x=(115*3)/(4*5)
x=345/20 miles
Convert to mixed number
345/20=340/20+5/20=17+5/20=17+1/4=17 1/4 miles
therefore
the answer is
17 1/4 miles