human
In the library, there are 10,000 books, 5,000 DVDs, and 2,000 audiobooks. What is the ratio of books to DVDs to audiobooks in the library?
gpt
To find the ratio of books to DVDs to audiobooks, we need to compare the quantities of each item in the library. 

Step 1: Write down the given quantities
Books: 10,000
DVDs: 5,000
Audiobooks: 2,000

Step 2: Find the greatest common divisor (GCD) of the three quantities. The GCD is the largest number that can divide all three quantities without leaving a remainder. In this case, the GCD is 1,000.

Step 3: Divide each quantity by the GCD to find the simplest ratio.
Books: 10,000 ÷ 1,000 = 10
DVDs: 5,000 ÷ 1,000 = 5
Audiobooks: 2,000 ÷ 1,000 = 2

Step 4: Write the ratio using the simplified numbers.
The ratio of books to DVDs to audiobooks in the library is 10:5:2.