an aquarium holds 6 1/4 gallons of water. the water level has dropped to 4/5 of this amount. how much water should be filled?
1 1/4 gallons need to be added.
If the water level has dropped to 4/5 of the 6 1/4 gallons that it can hold, then that means that 1/5 of the aquariums capacity is gone. So you have to multiply 6 1/4 X 1/5.
Change 6 1/4 to an improper fraction, 25/4. Then multiply that by 1/5.
25/4 X 1/5 = 25/20, which is 1 5/20, which can be reduced to 1 1/4 gallons.
thank you soooooooo much! this really helped me allot! ( had an answer on my paper didn't know it so I looked it up) he he (:c) <-- monkey
Don't waste your life with this math and do something else
1 1/4 gallons need to be added.
If the water level has dropped to 4/5 of the 6 1/4 gallons that it can hold, then that means that 1/5 of the capacity of the aquarium is gone. So you have to multiply 6 1/4 X 1/5.
Change 6 1/4 to an improper fraction, 25/4. Then multiply that by 1/5.
25/4 X 1/5 = 25/20, which is 1 5/20, which can be reduced to 1 1/4 gallons.
How do you get 1/5?
1) convert the mixed number into an improper fraction
http://www.ehow.com/how_4546598_convert-mixed-numbers-improper-fractions.html
2) multiply 4/5 to the improper fraction
To find out how much water should be filled, we can calculate the difference between the current water level and the original water level.
The original water level in the aquarium is 6 1/4 gallons. We can convert this mixed number to an improper fraction by multiplying the whole number (6) by the denominator (4) and adding the numerator (1). This gives us (6*4) + 1 = 25/4 gallons.
The current water level is 4/5 of the original water level. To find this amount, we multiply the original water level by 4/5:
(25/4) * (4/5) = (25*4) / (4*5) = 100/20 = 5 gallons.
Therefore, the water level has dropped to 5 gallons. To determine how much water should be filled, we subtract the current water level from the original water level:
25/4 - 5 = (25/4) - (20/4) = 5/4 gallons.
Hence, you should fill 5/4 gallons of water into the aquarium.