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

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

$$\frac{\frac{1}{2} + \frac{1}{3}}{\frac{1}{4}}= 4(\frac{5}{6}) = \frac{10}{3}$$. Ans - E.
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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

Originally posted by BrentGMATPrepNow on 22 Jun 2017, 07:10.
Last edited by BrentGMATPrepNow on 26 Sep 2020, 07:33, edited 1 time in total.
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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) $$\frac{10}{3}$$

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

(6 + 4)/3 = 10/3

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

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

= $$\frac{\frac{5}{6}}{\frac{1}{4}}$$

$$= \frac{5}{6} *\frac{4}{1}$$

$$= \frac{10}{3}$$, Answer is (E)
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