Class 5 Exam > Class 5 Questions > When comparing the fractions 5/12 and 7/16, w...
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When comparing the fractions 5/12 and 7/16, which is greater?
- a)7/16
- b)5/12
- c)Cannot be determined
- d)They are equal
Correct answer is option 'A'. Can you explain this answer?
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When comparing the fractions 5/12 and 7/16, which is greater?a) 7/16b)...
When comparing the fractions 5/12 and 7/16, which is greater?
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When comparing the fractions 5/12 and 7/16, which is greater?a) 7/16b)...
Understanding the Comparison of Fractions
To determine which fraction is greater between 5/12 and 7/16, we can use the method of cross-multiplication or find a common denominator.
Method 1: Cross-Multiplication
- For fractions a/b and c/d, we compare by calculating:
- a × d and b × c
- Here, a = 5, b = 12, c = 7, d = 16.
- Calculate:
- 5 × 16 = 80
- 12 × 7 = 84
- Now, compare:
- Since 80 < 84,="" this="" means="" 5/12="" />< 7/16.="" />Method 2: Finding a Common Denominator
- The least common multiple (LCM) of 12 and 16 can help us compare the fractions directly.
- LCM of 12 and 16 is 48.
- Convert both fractions:
- 5/12 = (5 × 4) / (12 × 4) = 20/48
- 7/16 = (7 × 3) / (16 × 3) = 21/48
- Now, compare:
- 20/48 < 21/48.="" />Conclusion
- Both methods show that 7/16 is greater than 5/12. Therefore, the correct answer is option 'A', which states that 7/16 is the greater fraction.
Understanding these methods will help you compare any fractions effectively!
To determine which fraction is greater between 5/12 and 7/16, we can use the method of cross-multiplication or find a common denominator.
Method 1: Cross-Multiplication
- For fractions a/b and c/d, we compare by calculating:
- a × d and b × c
- Here, a = 5, b = 12, c = 7, d = 16.
- Calculate:
- 5 × 16 = 80
- 12 × 7 = 84
- Now, compare:
- Since 80 < 84,="" this="" means="" 5/12="" />< 7/16.="" />Method 2: Finding a Common Denominator
- The least common multiple (LCM) of 12 and 16 can help us compare the fractions directly.
- LCM of 12 and 16 is 48.
- Convert both fractions:
- 5/12 = (5 × 4) / (12 × 4) = 20/48
- 7/16 = (7 × 3) / (16 × 3) = 21/48
- Now, compare:
- 20/48 < 21/48.="" />Conclusion
- Both methods show that 7/16 is greater than 5/12. Therefore, the correct answer is option 'A', which states that 7/16 is the greater fraction.
Understanding these methods will help you compare any fractions effectively!
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Question Description
When comparing the fractions 5/12 and 7/16, which is greater?a) 7/16b) 5/12c) Cannot be determinedd) They are equalCorrect answer is option 'A'. Can you explain this answer? for Class 5 2025 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about When comparing the fractions 5/12 and 7/16, which is greater?a) 7/16b) 5/12c) Cannot be determinedd) They are equalCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 5 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When comparing the fractions 5/12 and 7/16, which is greater?a) 7/16b) 5/12c) Cannot be determinedd) They are equalCorrect answer is option 'A'. Can you explain this answer?.
When comparing the fractions 5/12 and 7/16, which is greater?a) 7/16b) 5/12c) Cannot be determinedd) They are equalCorrect answer is option 'A'. Can you explain this answer? for Class 5 2025 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about When comparing the fractions 5/12 and 7/16, which is greater?a) 7/16b) 5/12c) Cannot be determinedd) They are equalCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 5 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When comparing the fractions 5/12 and 7/16, which is greater?a) 7/16b) 5/12c) Cannot be determinedd) They are equalCorrect answer is option 'A'. Can you explain this answer?.
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