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Which of the following fractions is greater than 1/4?

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aiming4mba
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Which of the following fractions is greater than 1/4? [#permalink] New post   Updated on: 11 Apr 2017, 05:38
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Which of the following fractions is greater than 1/4?

A. 12/50
B. 3/11
C. 2/9
D. 4/17
E. 6/24
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B

Originally posted by aiming4mba on 22 Jul 2010, 22:07.
Last edited by Bunuel on 11 Apr 2017, 05:38, edited 1 time in total.
Renamed the topic and edited the question.
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Re: Which of the following fractions is greater than 1/4? [#permalink] New post   23 Jul 2010, 01:12
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Hi,

Try to solve as follows:
1. 12/50
12.5/50 = 1/4 thus 12/50 < 1/4

2. 3/11
3/12 = 1/4 thus 3/11 > 1/4

3. 2/9
2/8 = 1/4 thus 2/9 < 1/4

4. 4/17
4/16 = 1/4 thus 4/17 < 1/4

5. 6/24
6/24 = 1/4

Hope this is clear to you.

regards,
Jack
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Re: Which of the following fractions is greater than 1/4? [#permalink] New post   23 Jul 2010, 03:11
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Thanks, gurpreet!
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Re: Which of the following fractions is greater than 1/4? [#permalink] New post   23 Jul 2010, 02:52
Here is how I reasoned to find the correct answer:
Take the product of 4 (denominator of 1/4) and the numerator the considering fraction and then compare it to the denominator of the considering fraction, e.g. for the first fraction I compare 4*12 to 50 and easy, I find it wrong.

Correct answer is B
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Re: Which of the following fractions is greater than 1/4? [#permalink] New post   23 Jul 2010, 03:01
jakolik's solution is right.

The best way to compare fractions is to cross multiply, but make sure both sides are +ve.

a/b > c/d if ad > bc :> where b and d are +ve
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Re: Which of the following fractions is greater than 1/4? [#permalink] New post   08 Mar 2018, 17:52
Expert Reply
aiming4mba wrote:
Which of the following fractions is greater than 1/4?

A. 12/50
B. 3/11
C. 2/9
D. 4/17
E. 6/24


We see that 1/4 is equivalent to 12/48, 3/12, 2/8, 4/16, and 6/24.

We use the property that when we compare two fractions whose numerators are equal, the larger fraction has the smaller denominator. Thus, we see that 3/11 is greater than 3/12, and thus, 3/11 is greater than 1/4.

Answer: B
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Re: Which of the following fractions is greater than 1/4? [#permalink] New post   27 Apr 2019, 02:47
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Re: Which of the following fractions is greater than 1/4? [#permalink]
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