if 1/5 of the books in the library are travel books and 1/6 of the travel books are Asian travel books what fraction of the books in the library are Asian travel books

Answer :

Answer:

1/30

Explanations:

Let the number of books in the library be x

1/5 of books in the library are travel books

Therefore:

[tex]\text{Number of travel books = }\frac{1}{5}x[/tex]

1/6 of the travel books are Asian travel books

Number of Asian travel books = (1/6) x (Number of travel books )

[tex]\begin{gathered} \text{Number of Asian travel books = }\frac{1}{6}\times(\frac{1}{5}x) \\ \text{Number of Asian travel books = }\frac{1}{30}x \end{gathered}[/tex]

Therefore, the Asian travel books are 1/30 of the total books in the library

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