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# The value of (7/8 + 1/9)/(1/2) is closest to which of the following?

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The value of (7/8 + 1/9)/(1/2) is closest to which of the following?  [#permalink]

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25 Jun 2018, 03:54
1
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Difficulty:

5% (low)

Question Stats:

79% (00:47) correct 21% (00:53) wrong based on 385 sessions

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The value of $$\frac{\frac{7}{8} + \frac{1}{9}}{\frac{1}{2}}$$ is closest to which of the following?

A. 2

B. 3/2

C. 1

D. 1/2

E. 0

NEW question from GMAT® Official Guide 2019

(PS08768)

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The value of (7/8 + 1/9)/(1/2) is closest to which of the following?  [#permalink]

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Updated on: 26 Jun 2018, 01:12

Solution

To find:
• The closest value of the given expression $$\frac{\frac{7}{8} + \frac{1}{9}}{\frac{1}{2}}$$

Approach and Working:

We can approximate the given values in the following manner:
$$\frac{7}{8} + \frac{1}{9}$$ ~ $$\frac{7}{8} + \frac{1}{8}$$ ~ $$\frac{8}{8}$$ ~ 1

Hence, the expression $$\frac{\frac{7}{8} + \frac{1}{9}}{\frac{1}{2}}$$ becomes $$1/{\frac{1}{2}}$$ = 2

Hence, the correct answer is option A.

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Originally posted by EgmatQuantExpert on 25 Jun 2018, 04:05.
Last edited by EgmatQuantExpert on 26 Jun 2018, 01:12, edited 1 time in total.
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The value of (7/8 + 1/9)/(1/2) is closest to which of the following?  [#permalink]

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Updated on: 26 Jun 2018, 01:40
(7/8 + 1/9)/(1/2) = (7*.125 + .111) *2 = (.875+.111)*2 = >1.972 Nearest to 2 ==> answer - Option A

Originally posted by baru on 26 Jun 2018, 01:06.
Last edited by baru on 26 Jun 2018, 01:40, edited 1 time in total.
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Re: The value of (7/8 + 1/9)/(1/2) is closest to which of the following?  [#permalink]

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26 Jun 2018, 01:10
Bunuel wrote:
The value of $$\frac{\frac{7}{8} + \frac{1}{9}}{\frac{1}{2}}$$ is closest to which of the following?

A. 2

B. 3/2

C. 1

D. 1/2

E. 0

NEW question from GMAT® Official Guide 2019

(PS08768)

$$\frac{1}{9}~\frac{1}{8}$$ so $$\frac{7}{8}+\frac{1}{9}~\frac{1}{8}+\frac{7}{8}=1$$
and $$1*\frac{1}{2}=\frac{1}{2}$$

D
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Re: The value of (7/8 + 1/9)/(1/2) is closest to which of the following?  [#permalink]

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26 Jun 2018, 02:44
I solved by keeping in mind some percentages.
1/8 is 12.5%, so 7/8 is 87.5%
1/11 is ~9%
Adding them, you almost get 100%, which is 1. Multiplied by 2 = 2.

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Re: The value of (7/8 + 1/9)/(1/2) is closest to which of the following?  [#permalink]

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26 Jun 2018, 08:56
Bunuel wrote:
The value of $$\frac{\frac{7}{8} + \frac{1}{9}}{\frac{1}{2}}$$ is closest to which of the following?

A. 2

B. 3/2

C. 1

D. 1/2

E. 0

NEW question from GMAT® Official Guide 2019

(PS08768)

Or, $$\frac{\frac{63+8}{72}}{\frac{1}{2}}$$

Or, $$\frac{\frac{71}{72}}{\frac{1}{2}}$$

Now, the Denominator can be considered as 1, so we are left with -

Or, $$\frac{1}{\frac{1}{2}}$$

Hence, the answer must be (A) 2...
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Re: The value of (7/8 + 1/9)/(1/2) is closest to which of the following?  [#permalink]

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26 Jun 2018, 09:09
14/8+2/9
less than 2 + less than 1/3
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Re: The value of (7/8 + 1/9)/(1/2) is closest to which of the following?  [#permalink]

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26 Jun 2018, 09:19
chetan2u wrote:
Bunuel wrote:
The value of $$\frac{\frac{7}{8} + \frac{1}{9}}{\frac{1}{2}}$$ is closest to which of the following?

A. 2

B. 3/2

C. 1

D. 1/2

E. 0

NEW question from GMAT® Official Guide 2019

(PS08768)

$$\frac{1}{9}~\frac{1}{8}$$ so $$\frac{7}{8}+\frac{1}{9}~\frac{1}{8}+\frac{7}{8}=1$$
and $$1*\frac{1}{2}=\frac{1}{2}$$

D

1 Divided by 1/2 is 2 - Correct answer is A and Not D
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Re: The value of (7/8 + 1/9)/(1/2) is closest to which of the following?  [#permalink]

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28 Jun 2018, 17:08
1
Bunuel wrote:
The value of $$\frac{\frac{7}{8} + \frac{1}{9}}{\frac{1}{2}}$$ is closest to which of the following?

A. 2

B. 3/2

C. 1

D. 1/2

E. 0

Multiplying the fraction by 72/72, we have:

(63 + 8)/36 = 71/36, which is about 2.

Alternate solution:

If we approximate 1/9 as 1/8, then we have:

(7/8 + 1/8)/(1/2) = 1/(1/2) = 2

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Re: The value of (7/8 + 1/9)/(1/2) is closest to which of the following? &nbs [#permalink] 28 Jun 2018, 17:08
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