136k views
3 votes
A 14.5-gallon gasoline tank is 3434 full. How many gallons will it take to fill the tank? Write your answer as a mixed number.

User Molivizzy
by
8.3k points

1 Answer

6 votes
This is a multiplication of fractions.  If the tank is 3/4 full, and the tank holds 14.5 gal, then we need to multiply 14.5 * 3/4 First, convert 14.5 to 14 1/2 = 29/2 as an improper fraction Now, we have 29/2 * 3/4 = 87/8 = 10 7/8 gal That's how much gas is in the tank now. However, we want to know how much is needed to fill the tank. That can be determined by subtracting 10 7/8 from the amount that the tank can hold when full, which is 14.5 or 14 1/2. 14 1/2 - 10 7/8 can be re-written using improper fractions 29/2 - 87/8       We need a common denominator, which is 8 116/8 - 87/8 = 29/8 = 3 5/8 gal That's how much is needed to fill the tank
User John Salvatier
by
8.1k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.