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# Which of the following fractions is closest to 1/2?

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Intern
Joined: 17 Sep 2018
Posts: 10
Location: India
Re: Which of the following fractions is closest to 1/2?  [#permalink]

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01 Nov 2018, 17:58
Of all the explanations I read, I feel the below one is the best one.

Since we need to find out what's closest to 1/2, just subtract that from each of the options.

(A) 4/7 - 1/2 = 1/7
(B) 5/9 - 1/2 = 1/18
(C) 6/11 - 1/2 = 1/22
(D) 7/13 - 1/2 = 1/26
(E) 9/16 - 1/2 = 2/32 => 1/16

From the above since 1/26 is the lowest number, (D) is the correct answer.
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Intern
Joined: 17 Sep 2018
Posts: 10
Location: India
Re: Which of the following fractions is closest to 1/2?  [#permalink]

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01 Nov 2018, 19:03
amitkumarchandan wrote:
There are 4 ways to solve the problem (Which is also basically a summary to above explanations):
1. Calculate the decimal and find the answer: This should be used when the numbers are small or calculation is easy.
2. Subtract the number (1/2 in this case) one by one with all the options to find the distance between those numbers, the smallest value would mean the closest number. (My favorite)
3. Use algebra to solve the arithmetic: To be used cautiously after identifying the pattern enabling algebraic equation formation.
4. Divide the options with the given number to see which number is closest to 1 (1 because we will also be dividing the given number, 1/2 in this case, to the same number)

My favorite as well!!

Of all the explanations I read, I feel the below one is the best one.

Since we need to find out what's closest to $$\frac{1}{2}$$, just subtract that from each of the options.

(A) $$\frac{4}{7}$$ - $$\frac{1}{2}$$ = $$\frac{1}{7}$$
(B) $$\frac{5}{9}$$ - $$\frac{1}{2}$$ = $$\frac{1}{18}$$
(C) $$\frac{6}{11}$$ - $$\frac{1}{2}$$ = $$\frac{1}{22}$$
(D) $$\frac{7}{13}$$ - $$\frac{1}{2}$$ = $$\frac{1}{26}$$
(E) $$\frac{9}{16}$$ - $$\frac{1}{2}$$ = $$\frac{2}{32}$$ => $$\frac{1}{16}$$

From the above since $$\frac{1}{26}$$ is the lowest number, (D) is the correct answer.
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Help needed to get to a score of 700+ I'm at all ears!!

Re: Which of the following fractions is closest to 1/2? &nbs [#permalink] 01 Nov 2018, 19:03

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