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Arrange the fractions 3/4, 5/12, 13/16, 16/29, 3/8 in their ascending order of magnitude.
- a)3/4 < 3/8="" />< 13/16="" />< 16/29="" />< />
- b)3/8 < 5/12="" />< 16/29="" />< 3/4="" />< />
- c)3/8 < 5/12="" />< 16/29="" />< 13/16="" />< />
- d)3/8 < 5/12="" />< 13/16="" />< 16/29="" />< />
Correct answer is option 'B'. Can you explain this answer?
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Arrange the fractions 3/4, 5/12, 13/16, 16/29, 3/8 in their ascendin...
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Arrange the fractions 3/4, 5/12, 13/16, 16/29, 3/8 in their ascendin...
Arranging Fractions in Ascending Order
Step 1: Compare Denominators
- Look at the denominators of the fractions: 4, 12, 16, 29, 8.
- The fractions with smaller denominators are easier to work with.
Step 2: Find a Common Denominator
- To compare fractions, find a common denominator.
- In this case, the common denominator is 48 (4 x 12).
Step 3: Convert Fractions
- Convert all fractions to have a denominator of 48.
- 3/4 = 36/48
- 5/12 = 20/48
- 13/16 = 39/48
- 16/29 ≈ 26.21/48
- 3/8 = 18/48
Step 4: Arrange Fractions
- Now that all fractions have the same denominator, compare the numerators.
- Arrange the fractions in ascending order based on their numerators:
1. 20/48 (5/12)
2. 26.21/48 (16/29)
3. 36/48 (3/4)
4. 39/48 (13/16)
5. 18/48 (3/8)
Conclusion
- Therefore, the fractions in ascending order are 5/12, 16/29, 3/4, 13/16, 3/8.
- Hence, the correct answer is option 'B' (3/8).
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Arrange the fractions 3/4, 5/12, 13/16, 16/29, 3/8 in their ascending order of magnitude.a)3/4 b)3/8 c)3/8 d)3/8 Correct answer is option 'B'. Can you explain this answer?
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