Avehicle uses 1 1/8 gallons of gasoline to travel 13 1/2 miles. at this rate, how many miles can the vehicle travel per gallon of gasoline

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! :)