Question

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?

Answer 1

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