the pet shop owner told Jean to fill her new fish tank 3/4 full with water. Jean filled it 9/12 full . what fraction of the tank does Jean still need to fill?
8/245 just because.
Chance 3/4 to an equivalent fraction with 12 in the denominator. Do this by multiplying both the 3 and the 4 by 3.
Compare this with 9/12
To find out what fraction of the tank Jean still needs to fill, we need to subtract the fraction of the tank she already filled (9/12) from the recommended fraction (3/4).
First, let's convert the fractions to have the same denominator. The least common multiple of 12 and 4 is 12, so let's convert 3/4 to twelfths.
3/4 can be multiplied by 3/3 to get a denominator of 12. So, 3/4 in twelfths is (3/4) x (3/3) = 9/12.
Now we can subtract the fraction Jean already filled from the recommended fraction: (9/12) - (9/12) = 0/12.
Therefore, Jean still needs to fill 0/12 or zero percent of the tank.
To find out what fraction of the tank Jean still needs to fill, we first need to determine how much of the tank is already filled.
We know that the pet shop owner told Jean to fill the tank 3/4 full. This means that 3/4 of the tank capacity should be filled with water.
Jean, on the other hand, filled the tank 9/12 full. To compare this with the pet shop owner's instruction, we need to find a common denominator for both fractions. In this case, the least common denominator is 12.
To convert 3/4 to twelfths, we multiply the numerator and denominator by 3:
3/4 * 3/3 = 9/12
Now that we have both fractions in twelfths, we can determine how much of the tank is still empty. We subtract the fraction Jean filled from the fraction the pet shop owner instructed:
9/12 (filled by Jean) - 9/12 (pet shop owner's instruction) = 0/12
So, Jean has already filled the tank to the exact amount instructed by the pet shop owner. Hence, there is no fraction of the tank left to fill.