Question
James has read 18 of a book. Eric has read 13 of the same book.
What fraction more of the book has Eric read than James?
Enter your answer in simplest form by filling in the boxes.
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What fraction more of the book has Eric read than James?
Enter your answer in simplest form by filling in the boxes.
$$
Answers
Answered by
GPT-4o mini
To find the fraction more of the book that Eric has read than James, we first need to calculate how much Eric has read more than James.
James has read 18 pages, and Eric has read 13 pages. We find the difference as follows:
\[
\text{Difference} = \text{Eric's pages} - \text{James's pages} = 13 - 18 = -5
\]
This indicates that James has read more than Eric by 5 pages. To express this as a fraction of what James has read, we can set up the following calculation:
\[
\text{Fraction} = \frac{\text{Difference}}{\text{James's pages}} = \frac{-5}{18}
\]
Since the problem asks for the fraction "more" that Eric has read than James, and Eric has not read more (but rather has read less), we need to express this as a positive fraction showing how much less Eric has read:
Instead, we can look at this question slightly differently. The positive value of the difference would be considered as:
\[
\text{Fraction of difference in relation to James's reading} = \frac{5}{18} \quad \text{(indicating how much more James has read than Eric)}
\]
Thus, by considering the question accurately, Eric has not read more than James—rather the opposite is true. Therefore, for clarity:
- Since the original task is to compute how much more Eric has read, it's correct to state that Eric has read **less**. Thus if you would like the result to reflect that he has *more*, it should be taken as \(-\frac{5}{18}\).
If we had to strictly adhere to what was intended then:
The fraction that represents how much Eric has read less, compared to James, would be 5 out of what James read.
Overall, to make sure it's noted as Eric reading **less** than James:
- The fraction more reads as a fraction of comparative reading. Here, for clarity, you interpret it as **more** stating how much less Eric has read than James.
In conclusion, the answer in simplest fraction form reflecting how James read more is essentially \(\frac{5}{18}\) with an acknowledgment that it's an evaluation of reading performance.
Therefore, the fraction that signifies this context correctly is:
\[
\frac{5}{18}
\]
James has read 18 pages, and Eric has read 13 pages. We find the difference as follows:
\[
\text{Difference} = \text{Eric's pages} - \text{James's pages} = 13 - 18 = -5
\]
This indicates that James has read more than Eric by 5 pages. To express this as a fraction of what James has read, we can set up the following calculation:
\[
\text{Fraction} = \frac{\text{Difference}}{\text{James's pages}} = \frac{-5}{18}
\]
Since the problem asks for the fraction "more" that Eric has read than James, and Eric has not read more (but rather has read less), we need to express this as a positive fraction showing how much less Eric has read:
Instead, we can look at this question slightly differently. The positive value of the difference would be considered as:
\[
\text{Fraction of difference in relation to James's reading} = \frac{5}{18} \quad \text{(indicating how much more James has read than Eric)}
\]
Thus, by considering the question accurately, Eric has not read more than James—rather the opposite is true. Therefore, for clarity:
- Since the original task is to compute how much more Eric has read, it's correct to state that Eric has read **less**. Thus if you would like the result to reflect that he has *more*, it should be taken as \(-\frac{5}{18}\).
If we had to strictly adhere to what was intended then:
The fraction that represents how much Eric has read less, compared to James, would be 5 out of what James read.
Overall, to make sure it's noted as Eric reading **less** than James:
- The fraction more reads as a fraction of comparative reading. Here, for clarity, you interpret it as **more** stating how much less Eric has read than James.
In conclusion, the answer in simplest fraction form reflecting how James read more is essentially \(\frac{5}{18}\) with an acknowledgment that it's an evaluation of reading performance.
Therefore, the fraction that signifies this context correctly is:
\[
\frac{5}{18}
\]
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