First, let's determine the total number of books sold in each category from the given table:
For fiction books:
- EBooks: 7
- Hardbacks: 6
- Paperbacks: 8
For non-fiction books:
- EBooks: 5
- Hardbacks: 13
- Paperbacks: 1
Next, we sum all these values to find the total number of books sold:
[tex]\[
7 \, (\text{fiction eBooks}) + 6 \, (\text{fiction hardbacks}) + 8 \, (\text{fiction paperbacks}) + 5 \, (\text{non-fiction eBooks}) + 13 \, (\text{non-fiction hardbacks}) + 1 \, (\text{non-fiction paperbacks}) = 40
\][/tex]
Thus, the total number of books sold is [tex]\(40\)[/tex].
Now, we need to identify the number of non-fiction hardback books sold:
[tex]\[
\text{Non-fiction hardback books} = 13
\][/tex]
To find the fraction of the books sold that were non-fiction hardback books, we divide the number of non-fiction hardback books by the total number of books sold:
[tex]\[
\text{Fraction of non-fiction hardback books} = \frac{13}{40}
\][/tex]
Since 13 is a prime number and has no common factors with 40 other than 1, the fraction [tex]\(\frac{13}{40}\)[/tex] is already in its simplest form.
Therefore, the fraction of the books sold that were non-fiction hardback books is [tex]\(\frac{13}{40}\)[/tex].
