Keira has 3 ⅛ pizzas. She splits it equally between her and 5 friends. What fraction of the original pizzas does each friend have?
(3 1/8) / (1 + 5) = (25/8) / 6 = 25/48
Let's see you try and cut those slices!
To find out what fraction of the original pizzas each friend has, we need to divide the total number of pizzas by the number of friends.
First, let's convert 3 ⅛ pizzas into an improper fraction. To do that, we multiply the whole number (3) by the denominator (8) and add the numerator (1). Then we put that result over the denominator. The calculation is as follows:
3 x 8 + 1 = 24 + 1 = 25
So, 3 ⅛ pizzas can be written as the improper fraction 25/8.
Next, we divide the number of pizzas (25/8) by the number of friends (5). To do this, we divide the numerator (25) by 5.
25 ÷ 5 = 5
Therefore, each friend has 5/8 of the original pizzas.
To find the fraction of the original pizzas that each friend has, we need to divide the total number of pizzas by the number of friends.
Keira has 3 ⅛ pizzas, which can be represented as the improper fraction 25/8. To split it equally between Keira and her 5 friends, we divide the total number of pizzas (25/8) by the number of friends (5).
To divide fractions, we multiply the numerator of the first fraction by the denominator of the second fraction, and the denominator of the first fraction by the numerator of the second fraction. Let's do the calculation:
(25/8) ÷ 5 = (25 ÷ 8) × (1/5) = 25/40
The result, 25/40, is the fraction of the original pizzas that each friend has.
However, it is usually best to express fractions in simplest form. To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 5:
25 ÷ 5 = 5
40 ÷ 5 = 8
So, each friend has the fraction 5/8 of the original pizzas.