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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...
To arrange the fractions in ascending order, we need to compare their magnitudes. We can do this by finding a common denominator for all the fractions and converting them into decimals.

Step 1: Find a common denominator
The fractions given are 3/4, 5/12, 13/16, 16/29, and 3/8. To find a common denominator, we need to find the least common multiple (LCM) of the denominators, which are 4, 12, 16, and 29.

The LCM of 4, 12, 16, and 29 is 1392.

Step 2: Convert fractions into decimals
Now, let's convert the fractions into decimals using the common denominator we found.

3/4 = (3 * 348) / (4 * 348) = 1044/1392 = 0.75
5/12 = (5 * 116) / (12 * 116) = 580/1392 ≈ 0.4167
13/16 = (13 * 87) / (16 * 87) = 1131/1392 ≈ 0.8125
16/29 = (16 * 48) / (29 * 48) = 768/1392 ≈ 0.5526
3/8 = (3 * 174) / (8 * 174) = 522/1392 ≈ 0.375

Step 3: Arrange the decimals in ascending order
Now that we have converted the fractions into decimals, let's arrange them in ascending order.

0.375, 0.4167, 0.5526, 0.75, 0.8125

As we can see, the fractions in ascending order are:
3/8, 5/12, 16/29, 3/4, 13/16

Therefore, 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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