Problem

The ratio of hardback books to paperback books on a bookshelf is $6: 21$. What fraction of the books on the bookshelf are hardback books? Give your answer in its simplest form.

Solution

Step 1 :Given the ratio of hardback books to paperback books is 6:21, we can represent the fraction of hardback books as \(\frac{6}{6+21}\)

Step 2 :Simplify the fraction: \(\frac{6}{27} = \frac{2}{9}\)

Step 3 :\(\boxed{\frac{2}{9}}\) is the fraction of hardback books on the bookshelf in its simplest form

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Source: https://solvelyapp.com/problems/8594/

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