A librarian has a total of 162 books to reshelve. Of these books, 90 are fiction and the rest are nonfiction. What is the ratio in simplest form of fiction to nonfiction books that the librarian has to reshelve? Write the ratio using a colon and then as a fraction.

Determine the prime factorization of the number of fiction books the librarian has to reshelve.

Find the number of nonfiction books the librarian has to reshelve.

Determine the prime factorization of the number of nonfiction books the librarian has to reshelve.

Use the prime factorizations to find the greatest common factor of the two numbers.

Use the greatest common factor to write the ratio of fiction to nonfiction books in simplest form. Write the ratio using a colon and then as a fraction.

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