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.

Answer

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Answer

$\boxed{\frac{2}{9}}$ is the fraction of hardback books on the bookshelf in its simplest form

Steps

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