Kaitlin has four and two-thirds berry pies. She is going to share it equally among 12 people. How much pies will each person get?

4 2/3 = 14/3

(14/3) / 12

(14/3) * (1/12) = 14/36 = 7/18

To determine how much pie each person will get, we need to divide the total number of pies by the number of people.

First, let's convert the mixed number 4 and 2/3 into an improper fraction.

To do this, we multiply the whole number (4) by the denominator of the fraction (3), which is 12. Then, we add the numerator (2). This gives us a total of 14.

So, 4 and 2/3 can be written as the improper fraction 14/3.

Now, let's divide 14/3 by 12:

14/3 ÷ 12.

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

14/3 × 1/12.

Next, multiply the numerators (14 × 1) to get 14, and multiply the denominators (3 × 12) to get 36:

14/3 × 1/12 = 14/36.

Simplifying the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2:

14/36 ÷ 2/2 = 7/18.

Therefore, each person will get 7/18 of a berry pie.