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

Question

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

(PS08768)

EgmatQuantExpert · Accepted Answer

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.

Answer: A

baru · Answer

(7/8 + 1/9)/(1/2) = (7*.125 + .111) *2 = (.875+.111)*2 = >1.972 Nearest to 2 ==>  answer - Option A

chetan2u · Answer

\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

sandman13 · Answer

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.

Answer: A

Abhishek009 · Answer

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...

gmatzpractice · Answer

14/8+2/9
less than 2 + less than 1/3
Answer A

CAMANISHPARMAR · Answer

1 Divided by 1/2 is 2 - Correct answer is A and Not D

ScottTargetTestPrep · Answer

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

Answer: A

Kinshook · Answer

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

\frac{7}{8} + \frac{1}{9} = \frac{63+8}{72} = \frac{71}{72} = 1 approx
 \frac{\frac{7}{8} + \frac{1}{9}}{\frac{1}{2}} 
 =\frac{1}{ \frac{1}{2}} = 2

IMO A

Nipungupta9081 · Answer

Answer A

Since we have to find the closest value 
let's take 1/9 as 1/8

now = 7/8 + 1/8 = 8/8 = 1

=> 1/1/2 = 2

GMATinsight · Answer

Answer: Option A

https://www.youtube.com/watch?v=_yqtfx-5wM0

avigutman · Answer

Video solution from Quant Reasoning: Subscribe for more: https://www.youtube.com/QuantReasoning? ... irmation=1 https://www.youtube.com/watch?v=30pwvj10-Lc

Shiloh123456789 · Answer

Slightly confused by this question as:

7/8 + 1/9 = 57/72

57/72 * 2 = 114/72

3/2 = 108/72
2 = 144/72

So I went with B as the answer is closer to 3/2. Have I missed something?

Bunuel · Answer

\frac{7}{8} + \frac{1}{9} = \frac{63}{72} + \frac{8}{72} = \frac{71}{72} , not 57/72.

Shiloh123456789 · Answer

Ah! Silly mistake. Better revise my 7 times tables aha.

Posted from my mobile device

totaltestprepNick · Answer

A https://www.youtube.com/watch?v=5ydVGLBX7iQ Nick Slavkovich, GMAT/GRE tutor with 20+ years of experience tutoring@totaltestprep.net

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

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GMAT Problem Solving (PS) Questions

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

Prep Toolkit

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