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# (1/2+1/3)/(1/4) =

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Updated on: 28 May 2017, 03:04
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Difficulty:

5% (low)

Question Stats:

95% (00:31) correct 5% (01:05) wrong based on 303 sessions

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$$\frac{\frac{1}{2} + \frac{1}{3}}{\frac{1}{4}}=$$ ?

A) $$\frac{1}{12}$$

B) $$\frac{5}{24}$$

C) $$\frac{2}{3}$$

D) $$\frac{3}{4}$$

E) $$\frac{10}{3}$$

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Originally posted by carcass on 28 May 2017, 02:31.
Last edited by Bunuel on 28 May 2017, 03:04, edited 1 time in total.
Formatted the question.
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Re: (1/2+1/3)/(1/4) =  [#permalink]

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28 May 2017, 03:16
1
carcass wrote:
$$\frac{\frac{1}{2} + \frac{1}{3}}{\frac{1}{4}}=$$ ?

A) $$\frac{1}{12}$$

B) $$\frac{5}{24}$$

C) $$\frac{2}{3}$$

D) $$\frac{3}{4}$$

E) $$\frac{10}{3}$$

$$\frac{\frac{1}{2} + \frac{1}{3}}{\frac{1}{4}}=(\frac{1}{2} + \frac{1}{3})*4=(\frac{3+2}{6})*4=\frac{10}{3}$$.

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Re: (1/2+1/3)/(1/4) =  [#permalink]

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22 Jun 2017, 04:59
answer should be E here , multiply both parts with 6 then we get 6x1/2+6x1/3= 2+3=5 / 6x1/4= 20/6=10/3
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Re: (1/2+1/3)/(1/4) =  [#permalink]

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22 Jun 2017, 05:18
carcass wrote:
$$\frac{\frac{1}{2} + \frac{1}{3}}{\frac{1}{4}}=$$ ?

A) $$\frac{1}{12}$$

B) $$\frac{5}{24}$$

C) $$\frac{2}{3}$$

D) $$\frac{3}{4}$$

E) $$\frac{10}{3}$$

$$\frac{\frac{1}{2} + \frac{1}{3}}{\frac{1}{4}}= 4(\frac{5}{6}) = \frac{10}{3}$$. Ans - E.
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Re: (1/2+1/3)/(1/4) =  [#permalink]

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22 Jun 2017, 07:10
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carcass wrote:
$$\frac{\frac{1}{2} + \frac{1}{3}}{\frac{1}{4}}=$$ ?

A) $$\frac{1}{12}$$

B) $$\frac{5}{24}$$

C) $$\frac{2}{3}$$

D) $$\frac{3}{4}$$

E) $$\frac{10}{3}$$

Here's an approach that uses approximation

Given: (1/2 + 1/3)/(1/4)

1/2 + 1/3 = a little less than 1 so we can write: (a little less than 1)/(1/4)

We know that 1/(1/4) = 4

So, (a little less than 1)/(1/4) = a little less than 4

Since only one answer choice (E) is greater than 1, it is the ONLY answer choice that's reasonably close to a little less than 4

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Re: (1/2+1/3)/(1/4) =  [#permalink]

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24 Jun 2017, 08:32
carcass wrote:
$$\frac{\frac{1}{2} + \frac{1}{3}}{\frac{1}{4}}=$$ ?

A) $$\frac{1}{12}$$

B) $$\frac{5}{24}$$

C) $$\frac{2}{3}$$

D) $$\frac{3}{4}$$

E) $$\frac{10}{3}$$

We can multiply the given expression by 12/12 and we have:

(6 + 4)/3 = 10/3

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01 Oct 2018, 01:49
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Re: (1/2+1/3)/(1/4) =   [#permalink] 01 Oct 2018, 01:49
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