Hank's fish bowl holds 9/10 gallon of water. It is now 2/3 full. How much water is in the bowl?
I subtracted and my answer is 7/30. Is this correct?
(2/3) * (9/10) = 18/30 = 3/5
To calculate the amount of water in the bowl, you need to multiply the volume of the fish bowl (9/10 gallon) by the fraction that represents how full it is (2/3).
Multiplying fractions is done by multiplying the numerators (the numbers on top) together and the denominators (the numbers on the bottom) together. So, you need to multiply 9/10 by 2/3:
(9/10) * (2/3) = (9 * 2) / (10 * 3) = 18/30
So, the correct answer is 18/30 gallon of water in the bowl.
However, to simplify the fraction, you can divide both the numerator and the denominator of the fraction by their greatest common divisor (GCD), which is 6:
(18/6) / (30/6) = 3/5
Simplifying further, you get 3/5 gallon of water in the bowl.
Therefore, your answer of 7/30 gallon is not correct. The correct answer is 3/5 gallon.
To calculate how much water is in the bowl, we need to find 2/3 of 9/10 gallon.
To do this, we multiply these fractions:
(2/3) x (9/10)
We multiply the numerators together to get the new numerator:
2 x 9 = 18
And we multiply the denominators together to get the new denominator:
3 x 10 = 30
So, the calculation becomes:
18/30
The fraction 18/30 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 6.
18 ÷ 6 = 3
30 ÷ 6 = 5
Therefore, the simplified fraction is:
3/5 gallon
So, the correct answer is 3/5 gallon, not 7/30.