Question
Find the difference:
3 3.8 -2.7
A. 27/40
B. 43/56
C. 1 13/56
C.1 13/40
3 3.8 -2.7
A. 27/40
B. 43/56
C. 1 13/56
C.1 13/40
Answers
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Answered by
GPT-4o mini
To find the difference \( 3.8 - 2.7 \), we will perform the calculation step-by-step.
1. **Convert to a uniform format (decimals)**:
\[
3.8 - 2.7 = 1.1
\]
2. **Convert \( 1.1 \) to a fraction**:
\[
1.1 = \frac{11}{10}
\]
3. **Now, let's convert \( 1.1 \) or \( \frac{11}{10} \) to forms that match the given options**:
- Convert \( \frac{11}{10} \) to a mixed number if necessary.
- Since it is simply \( 1.1 \), it would not be suitable to convert it into a larger mixed fraction, as it does not mathematically split into larger whole numbers.
4. **Present \( \frac{11}{10} \) in terms of the options provided**:
- The answers provided are not in decimal format.
- We should analyze each option:
- A. \( \frac{27}{40} = 0.675 \)
- B. \( \frac{43}{56} \approx 0.7679 \)
- C. \( 1 \frac{13}{56} = 1 + \frac{13}{56} = \frac{56 + 13}{56} = \frac{69}{56} \approx 1.2321 \)
- D. \( 1 \frac{13}{40} = 1 + \frac{13}{40} = \frac{40 + 13}{40} = \frac{53}{40} = 1.325 \)
5. **Comparing options**:
- We need \( \frac{11}{10} = 1.1 \).
- Converting \( 1.1 \) to a 56ths to check potential matches:
\[
1.1 = \frac{11 \times 56}{10 \times 56} = \frac{616}{560} = \frac{154}{140} \quad \text{whereby we note that } \quad 1.1 = \frac{11}{10} \text{ resonates close to other fractions.}
\]
### Conclusion:
None of the answer choices perfectly equal \( \frac{11}{10} \). However:
1. \( \frac{43}{56} \) and \( 1.1 \) do not align.
2. The two mixed fractions both exceed \( 1.1 \).
The strongest outcome for differences represented here is:
- The closest is the **mixed number conversion of related fractions**. Depending on validated mathematical approximatives, we need no further resolution as our original answer remains \( \frac{11}{10} \) or reconsidered as \( \frac{27}{40} \) or \( \frac{43}{56} \) achieving roughly a close approximation.
The possible list of differences contained in the original question structure does not absolutely align, marking an observation that checks on relative small differences yield \( C. \) as being obtainable in fractions closer to unadjusted values rather than simple arithmetic engagements outputs.
Therefore, based on other comparative observations, thus our selection best aligned becomes:
**Answer not fitting existing solutions perfectly as \( 1.1 \) is itself.**
1. **Convert to a uniform format (decimals)**:
\[
3.8 - 2.7 = 1.1
\]
2. **Convert \( 1.1 \) to a fraction**:
\[
1.1 = \frac{11}{10}
\]
3. **Now, let's convert \( 1.1 \) or \( \frac{11}{10} \) to forms that match the given options**:
- Convert \( \frac{11}{10} \) to a mixed number if necessary.
- Since it is simply \( 1.1 \), it would not be suitable to convert it into a larger mixed fraction, as it does not mathematically split into larger whole numbers.
4. **Present \( \frac{11}{10} \) in terms of the options provided**:
- The answers provided are not in decimal format.
- We should analyze each option:
- A. \( \frac{27}{40} = 0.675 \)
- B. \( \frac{43}{56} \approx 0.7679 \)
- C. \( 1 \frac{13}{56} = 1 + \frac{13}{56} = \frac{56 + 13}{56} = \frac{69}{56} \approx 1.2321 \)
- D. \( 1 \frac{13}{40} = 1 + \frac{13}{40} = \frac{40 + 13}{40} = \frac{53}{40} = 1.325 \)
5. **Comparing options**:
- We need \( \frac{11}{10} = 1.1 \).
- Converting \( 1.1 \) to a 56ths to check potential matches:
\[
1.1 = \frac{11 \times 56}{10 \times 56} = \frac{616}{560} = \frac{154}{140} \quad \text{whereby we note that } \quad 1.1 = \frac{11}{10} \text{ resonates close to other fractions.}
\]
### Conclusion:
None of the answer choices perfectly equal \( \frac{11}{10} \). However:
1. \( \frac{43}{56} \) and \( 1.1 \) do not align.
2. The two mixed fractions both exceed \( 1.1 \).
The strongest outcome for differences represented here is:
- The closest is the **mixed number conversion of related fractions**. Depending on validated mathematical approximatives, we need no further resolution as our original answer remains \( \frac{11}{10} \) or reconsidered as \( \frac{27}{40} \) or \( \frac{43}{56} \) achieving roughly a close approximation.
The possible list of differences contained in the original question structure does not absolutely align, marking an observation that checks on relative small differences yield \( C. \) as being obtainable in fractions closer to unadjusted values rather than simple arithmetic engagements outputs.
Therefore, based on other comparative observations, thus our selection best aligned becomes:
**Answer not fitting existing solutions perfectly as \( 1.1 \) is itself.**
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