To determine how long it takes Elisabeth to read 34 of the book, we first need to find her reading rate based on the information provided.
Elisabeth reads \( \frac{15}{112} \) of the book in 1 hour.
To find the time it takes to read \( \frac{34}{112} \) of the book, we can set up a ratio based on her reading rate.
Let \( t \) be the time in hours it takes to read \( \frac{34}{112} \) of the book. This gives us:
\[ \frac{34}{112} = \text{Rate} \times t \]
We can express her reading rate as:
\[ \text{Rate} = \frac{15}{112} \text{ chapters per hour} \]
Now, we need to find the amount of time:
\[ t = \frac{\frac{34}{112}}{\frac{15}{112}} = \frac{34}{112} \times \frac{112}{15} = \frac{34}{15} \]
Now, we convert \( \frac{34}{15} \) into a mixed number.
First, we divide \( 34 \) by \( 15 \):
\[ 34 \div 15 = 2 \quad \text{(with a remainder of 4)} \]
Thus,
\[ \frac{34}{15} = 2 \frac{4}{15} \]
Therefore, the time it takes Elisabeth to read \( \frac{34}{112} \) of the book, expressed as a mixed number in simplest form, is:
\[ \boxed{2 \frac{4}{15}} \]
In the boxes:
- Hours: \(2\)
- Minutes: \(4/15\)
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