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
the QA is B
do you agree with me on E. if yes, we are on the same page. if No, prove yourself otherwise
Fractions
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6/24 is EQUAL to 1/4Roland2rule 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
the QA is B
In other words, 6/24 is not GREATER than 1/4....ELIMINATE E
3/11 = 0.272727....
1/4 = 0.25
So, 3/11 is GREATER THAN 1/4
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Hello Roland.
As you can see the question says greater than. Option E is 6/24=1/4. Now, option E is not greater than 1/4 (it is equal). So, E is not correct.
Now, we can check that B is greater than 1/4 as follows:
3/11>1/4 <=> 12>11, the last inequality is true, so the first one is also true.
In conclusion, B is the correct option.
I am available if you'd like any follow up.
As you can see the question says greater than. Option E is 6/24=1/4. Now, option E is not greater than 1/4 (it is equal). So, E is not correct.
Now, we can check that B is greater than 1/4 as follows:
3/11>1/4 <=> 12>11, the last inequality is true, so the first one is also true.
In conclusion, B is the correct option.
I am available if you'd like any follow up.
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6/24 =>
(6*1)/(6*4) =>
1/4
1/4 isn't greater than itself, so E is out.
(6*1)/(6*4) =>
1/4
1/4 isn't greater than itself, so E is out.
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Solution:BTGmoderatorRO wrote: ↑Sun Sep 10, 2017 10:09 amWhich of the following fractions is greater than 1/4?
A. 12/50
B. 3/11
C. 2/9
D. 4/17
E. 6/24
the QA is B
do you agree with me on E. if yes, we are on the same page. if No, prove yourself otherwise
We see that 1/4 = 0.25.
Since 12/50 = 24/100 = 0.24, A is not the correct answer.
Since 3/11 = 0.2727…, B is the correct answer.
Alternate Solution:
We are looking for a numerator that is more than 4 times the denominator. This will indicate that the value of the fraction is greater than ¼.
Choice A: 12 x 4 = 48. Since 48 < 50, this doesn’t work.
Choice B: 3 x 4 = 12. Since 12 > 11, this is the correct answer. We see that 3/11 is greater than ¼.
Let’s finish the remaining choices to show that they won’t work.
Choice C: 2 x 4 = 8. Since 8 < 9, this doesn’t work.
Choice D: 4 x 4 = 16. Since 16 < 17m, this doesn’t work.
Choice E: 6 x 4 = 24. Since 24 = 24, this doesn’t work (the fraction is equal to ¼)
Answer: B
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