Subtraction of Fractions: Hydraulic Jack Fluid Calculation
How much fluid remains in the hydraulic jack?
A hydraulic jack contains 7/8 gallons of fluid. A damaged seal leaked 1/5 gallon of fluid while in use. What is the total amount of fluid remaining in the jack?
Answer:
After the leak, there are 27/40 gallons of fluid left in the hydraulic jack.
Explanation:
The problem involves the subtraction of fractions. Initially, the hydraulic jack had 7/8 gallons of fluid. Due to the leak caused by a damaged seal, 1/5 gallon of fluid was lost. To determine the remaining fluid, we need to subtract the leaked amount from the original amount.
- Firstly, we need to convert the fractions to have a common denominator. The least common multiple of 8 and 5 is 40, so we convert 7/8 to 35/40 and 1/5 to 8/40.
- Subtract the two fractions: 35/40 - 8/40 = 27/40.
- Therefore, there are 27/40 gallons of fluid left in the hydraulic jack after the leakage.