Set up a ratio. 1 1/8 gallons is to 13 1/2 miles as 1 gallon is to x miles.
x= unknown number of miles
(1 1/8) / (13 1/2)= 1 / x
cross multiply top left by bottom right and bottom left by top right
1 1/8 * x= 13 1/2 * 1
1 1/8x= 13 1/2
convert each mixed number to improper fractions
9/8x= 27/2
divide both sides by 9/8
x= 27/2 ÷ 9/8
to divide fractions, multiply by the reciprocal/inverse of 9/8
x= 27/2 * 8/9
multiply numerators together; multiply denominators together
x= (27*8)/(2*9)
x= 216/18
x= 12 miles
ANSWER: A car can travel 12 miles for each 1 gallon of gas.
Hope this helps! :)
