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Which of the following fractions is less than 1/8?
- a)4/16
- b)2/12
- c)2/14
- d)4/36
Correct answer is option 'D'. Can you explain this answer?
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Which of the following fractions is less than 1/8?a)4/16b)2/12c)2/14d)...
Comparing the fractions, we get
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Which of the following fractions is less than 1/8?a)4/16b)2/12c)2/14d)...
Fractions less than 1/8:
To determine which of the given fractions is less than 1/8, we need to compare each fraction with 1/8 and find the one that is smaller.
Comparing the fractions:
Let's compare each fraction with 1/8:
a) 4/16:
To compare this fraction with 1/8, we need to find a common denominator. The least common multiple (LCM) of 16 and 8 is 16. Rewriting 1/8 with a denominator of 16 gives us 2/16. Since 4/16 is greater than 2/16, it is not less than 1/8.
b) 2/12:
To compare this fraction with 1/8, we need to find a common denominator. The LCM of 12 and 8 is 24. Rewriting 1/8 with a denominator of 24 gives us 3/24. Since 2/12 is less than 3/24, it is less than 1/8.
c) 2/14:
To compare this fraction with 1/8, we need to find a common denominator. The LCM of 14 and 8 is 56. Rewriting 1/8 with a denominator of 56 gives us 7/56. Since 2/14 is less than 7/56, it is less than 1/8.
d) 4/36:
To compare this fraction with 1/8, we need to find a common denominator. The LCM of 36 and 8 is 72. Rewriting 1/8 with a denominator of 72 gives us 9/72. Since 4/36 is less than 9/72, it is less than 1/8.
Conclusion:
Out of the given fractions, only 4/36 is less than 1/8. Therefore, the correct answer is option 'D'.
To determine which of the given fractions is less than 1/8, we need to compare each fraction with 1/8 and find the one that is smaller.
Comparing the fractions:
Let's compare each fraction with 1/8:
a) 4/16:
To compare this fraction with 1/8, we need to find a common denominator. The least common multiple (LCM) of 16 and 8 is 16. Rewriting 1/8 with a denominator of 16 gives us 2/16. Since 4/16 is greater than 2/16, it is not less than 1/8.
b) 2/12:
To compare this fraction with 1/8, we need to find a common denominator. The LCM of 12 and 8 is 24. Rewriting 1/8 with a denominator of 24 gives us 3/24. Since 2/12 is less than 3/24, it is less than 1/8.
c) 2/14:
To compare this fraction with 1/8, we need to find a common denominator. The LCM of 14 and 8 is 56. Rewriting 1/8 with a denominator of 56 gives us 7/56. Since 2/14 is less than 7/56, it is less than 1/8.
d) 4/36:
To compare this fraction with 1/8, we need to find a common denominator. The LCM of 36 and 8 is 72. Rewriting 1/8 with a denominator of 72 gives us 9/72. Since 4/36 is less than 9/72, it is less than 1/8.
Conclusion:
Out of the given fractions, only 4/36 is less than 1/8. Therefore, the correct answer is option 'D'.
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Which of the following fractions is less than 1/8?a)4/16b)2/12c)2/14d)4/36Correct answer is option 'D'. Can you explain this answer?
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