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Answer the following questions by selecting the most appropriate option.
4/16 - 1/8 = 3/8
6/7 - 2/9 = 4/2
The above represents the work of a student. If this error pattern continues, the student's answer to 5/11 - 2/7 will be
- a)7/18
- b)3/4
- c)3/7
- d)2/18
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Answer the following questions by selecting the most appropriate optio...
The student simply subtracts the smaller number from a larger number in numerator and denominator.
Most Upvoted Answer
Answer the following questions by selecting the most appropriate optio...
Explanation:
The error pattern of the student is not clear from the given information. It is important to understand the mistake made by the student in order to predict their answer to the next question. However, we can solve the given equations to verify if the answers provided by the student are correct or not.
4/16 - 1/8 = (1/4) - (1/8) = 2/8 - 1/8 = 1/8 ≠ 3/8
6/7 - 2/9 = (54/63) - (14/63) = 40/63 ≠ 4/2
Therefore, the student has made errors in both equations. It is possible that the student is not simplifying the fractions before subtracting them or not finding a common denominator. Based on this assumption, we can predict the answer to the next question.
5/11 - 2/7 = (35/77) - (22/77) = 13/77
Option B (3/4) is incorrect as it is not even a fraction between 0 and 1. Option A (7/18) and Option D (2/18) are also unlikely as they are too small compared to the fractions being subtracted. Option C (3/7) is close to the correct answer but still not accurate. Therefore, the correct answer is Option E, None of the above.
Conclusion:
Without knowing the specific error pattern of the student, it is difficult to predict their answer to the next question. Therefore, the correct answer is None of the above. It is important to identify the mistake made by the student and provide appropriate feedback to help them improve their understanding of fractions.
The error pattern of the student is not clear from the given information. It is important to understand the mistake made by the student in order to predict their answer to the next question. However, we can solve the given equations to verify if the answers provided by the student are correct or not.
4/16 - 1/8 = (1/4) - (1/8) = 2/8 - 1/8 = 1/8 ≠ 3/8
6/7 - 2/9 = (54/63) - (14/63) = 40/63 ≠ 4/2
Therefore, the student has made errors in both equations. It is possible that the student is not simplifying the fractions before subtracting them or not finding a common denominator. Based on this assumption, we can predict the answer to the next question.
5/11 - 2/7 = (35/77) - (22/77) = 13/77
Option B (3/4) is incorrect as it is not even a fraction between 0 and 1. Option A (7/18) and Option D (2/18) are also unlikely as they are too small compared to the fractions being subtracted. Option C (3/7) is close to the correct answer but still not accurate. Therefore, the correct answer is Option E, None of the above.
Conclusion:
Without knowing the specific error pattern of the student, it is difficult to predict their answer to the next question. Therefore, the correct answer is None of the above. It is important to identify the mistake made by the student and provide appropriate feedback to help them improve their understanding of fractions.
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