James left the farm gate open and 3/4 of the turkeys, 3/4 of the chickens and 1/2 of the goats got out. What fraction of the turkeys and chickens got out altogether?
since 3/4 of each, that means 3/4 of their total.
(3/4)t + (3/4)c = (3/4)(t+c)
To find the fraction of turkeys and chickens that got out altogether, we first need to calculate the fraction of turkeys and chickens that got out individually.
Let's assume there were 100 turkeys, 100 chickens, and 100 goats on the farm.
If 3/4 of the turkeys got out, then the number of turkeys that got out is (3/4) * 100 = 75 turkeys.
Similarly, if 3/4 of the chickens got out, then the number of chickens that got out is (3/4) * 100 = 75 chickens.
So, the fraction of turkeys that got out is 75/100, which can be simplified to 3/4.
And the fraction of chickens that got out is also 75/100, which can also be simplified to 3/4.
To find the fraction of turkeys and chickens that got out altogether, we add the fractions:
3/4 + 3/4 = 6/4
However, 6/4 can be simplified to 1 2/4 or 1 1/2.
Therefore, the fraction of turkeys and chickens that got out altogether is 1 1/2.
To find out what fraction of the turkeys and chickens got out altogether, we first need to determine the fraction of turkeys and chickens that got out individually and then add those fractions together.
Let's start with the fraction of turkeys that got out. We are given that 3/4 of the turkeys got out. To calculate this fraction, we divide the number of turkeys that got out by the total number of turkeys.
Let's assume that there were 100 turkeys on the farm. Since 3/4 of the turkeys got out, we can multiply 100 by 3/4 to find the number of turkeys that got out:
100 * 3/4 = 300/4 = 75 turkeys
So, 75 turkeys got out.
Now, let's move on to the fraction of chickens that got out. Like the turkeys, we are told that 3/4 of the chickens got out. Let's assume there were 200 chickens on the farm. To find the number of chickens that got out, we multiply 200 by 3/4:
200 * 3/4 = 600/4 = 150 chickens
So, 150 chickens got out.
To determine the fraction of turkeys and chickens that got out altogether, we need to add the fractions of turkeys and chickens that got out individually and express it as a fraction of the total turkeys and chickens.
The total number of turkeys and chickens on the farm is 100 turkeys + 200 chickens = 300 birds.
The total number of turkeys and chickens that got out is 75 turkeys + 150 chickens = 225 birds.
Therefore, the fraction of turkeys and chickens that got out altogether is 225/300, or simplified, 3/4.
So, 3/4 of the turkeys and chickens got out altogether.