To find out how long it will take Sean to read 12 of the book, we first need to calculate the time it takes Sean to read 1 of the book.
Sean read 15% of the book in 112 hours. Therefore, the time to read 1% of the book is:
\[ \text{Time for 1%} = \frac{112 \text{ hours}}{15} \]
Calculating that gives:
\[ \text{Time for 1%} = \frac{112}{15} \approx 7.4667 \text{ hours} \]
Now, to find the time to read 12% of the book, we multiply the time for 1% by 12:
\[ \text{Time for 12%} = 12 \times \frac{112}{15} \]
Calculating that gives:
\[ \text{Time for 12%} = \frac{12 \times 112}{15} = \frac{1344}{15} \]
Next, we simplify \(\frac{1344}{15}\). Performing the division:
\[ 1344 \div 15 = 89.6 \]
Next, we convert \(89.6\) to a mixed number. The whole number part is \(89\), and to find the fractional part, we take the decimal \(0.6\) and convert it to a fraction:
\[ 0.6 = \frac{6}{10} = \frac{3}{5} \]
Thus, \(89.6\) can be expressed as:
\[ 89 \frac{3}{5} \]
Therefore, it will take Sean \(89 \frac{3}{5}\) hours to read 12% of the book.
Final answer:
\[ \boxed{89 \frac{3}{5}} \]
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