A gasoline tank is 1/6 full. When 25 liters of gasoline were added,it became 3/4 full how many more liters are needed to fill it do it by multiplying fractions method
Answer (1)
Answer:Here's how to solve this using the multiplying fraction method: * Calculate the fraction of the tank filled by the added gasoline: 3/4 - 1/6 To subtract these fractions, find a common denominator, which is 12: 9/12 - 2/12 = 7/12 * Determine the total capacity of the tank: If 7/12 of the tank is 25 liters, then 1/12 of the tank is 25 / 7 liters. The full tank (12/12) is (25 / 7) * 12 = 300 / 7 \approx 42.86 liters. * Calculate how many more liters are needed to fill the tank: The tank is 3/4 full, which means 1/4 of the tank is empty. 1/4 * (300/7) = 300/28 = 75/7 \approx 10.71 liters.Therefore, approximately 10.71 liters are needed to fill the tank.
