The gasoline gauge on a van initially read one fourth14 full. when 1010 gallons were added to the​ tank, the gauge read two thirds23 full. how many more gallons are needed to fill the​ tank?
First, have common denominators. 1/4 = 3/12 2/3 = 8/12 8/12 - 3/12 = 5/12 or 1,010 gallon 1,010/5 gallon = 1/12 full 202 gallons = 1/12 full 7/12 needed until full  ⇒ 7*202 = 1,414 gallons
