word problems

Question

A fuel tank holds 172 1/2 gallons. One gallon so #2 fuel weighs 1 2/9 lb. How many pounds of fuel are in a full tank? Express answer in fraction form. 

Answer 1

Colin,

 

Fuel tank holds 172 1/2 gallon = (172*2 +1)/2 gallons = 345/2 gallons

 

1 gallon fuel = 1 2/9 lbs = (9*1 +2)/9 = 11/9 lbs

 

So 345/2 gallons = (345/2)*(11/9) lbs = (115*11)/6 lbs = 1265/6 lbs = 210 5/6 lbs