pat has some t-shirts. 1/4 of the t-shirts are pink, 1/2 of the remainder are white and the rest are purple. what fraction of the t-shirts are purple?

1 - 1/4 - 1/2 = ?

1/4

To find the fraction of t-shirts that are purple, we need to consider the information provided step by step.

Let's start by assigning a variable to represent the total number of t-shirts that Pat has. Let's say Pat has "x" t-shirts.

According to the information given, 1/4 of the t-shirts are pink. So, the number of pink t-shirts is (1/4)x.

Now, we need to find the remaining t-shirts after removing the pink ones. The remainder is equal to the original total (x) minus the pink t-shirts: x - (1/4)x = (3/4)x.

According to the next part of the information, 1/2 of the remainder are white. Therefore, the number of white t-shirts is (1/2) * (3/4)x = (3/8)x.

To find the number of purple t-shirts, we subtract the sum of the pink and white t-shirts from the total number of t-shirts:
Number of purple t-shirts = Total t-shirts - Pink t-shirts - White t-shirts
Number of purple t-shirts = x - (1/4)x - (3/8)x
Number of purple t-shirts = (8/8)x - (2/8)x - (3/8)x
Number of purple t-shirts = (8/8 - 2/8 - 3/8)x
Number of purple t-shirts = (3/8)x

So, the fraction of t-shirts that are purple is 3/8.