In a school library, there are 3 Chinese Language books for every 5 English Language books. The number of Malay Language book is 5/9 as many as the Chinese Language books. Find the ratio of the number of Malay Language books to the number of English Language books.

(Express your answer in its simplest form.)

let number of Chinese books be 3x

let the number of English books be 5x
number of Malay books = (5/9)(3x) = (5/3)x

Malay books : English books
= (5/3)x : 5x
= 5x : 15x
= 5 : 15
= 1 : 3

To find the ratio of the number of Malay Language books to the number of English Language books, we first need to determine the number of Chinese Language books and the number of English Language books in the library.

Let's assume the number of Chinese Language books is represented by "C", and the number of English Language books is represented by "E".

Given that there are 3 Chinese Language books for every 5 English Language books, we can set up the equation:

C/E = 3/5

To find the number of Malay Language books, we are told that it is 5/9 as many as the Chinese Language books. We can write this as:

Malay Language books = (5/9) * Chinese Language books
= (5/9) * C

Now, we can express the number of Malay Language books in terms of the number of English Language books:

Malay Language books = (5/9) * C = (5/9) * (3/5) * E
= (5/3) * (1/9) * E

The ratio of the number of Malay Language books to the number of English Language books can now be expressed as:

(5/3) * (1/9) * E / E = 5/27

Therefore, the ratio of the number of Malay Language books to the number of English Language books is 5/27.