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The sum 7/8+1/9 is between

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The sum 7/8+1/9 is between [#permalink] New post 24 Sep 2012, 03:53
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A
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E

Difficulty:

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Question Stats:

88% (01:41) correct 12% (00:50) wrong based on 272 sessions
The sum \frac{7}{8}+\frac{1}{9} is between

(A) \frac{1}{2} and \frac{3}{4}

(B) \frac{3}{4} and 1

(C) 1 and 1\frac{1}{4}

(D) 1\frac{1}{4} and 1\frac{1}{2}

(E) 1\frac{1}{2} and 2

Practice Questions
Question: 46
Page: 158
Difficulty: 550
[Reveal] Spoiler: OA

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Re: The sum 7/8+1/9 is between [#permalink] New post 24 Sep 2012, 03:53
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SOLUTION:

The sum \frac{7}{8}+\frac{1}{9} is between

(A) \frac{1}{2} and \frac{3}{4}

(B) \frac{3}{4} and 1

(C) 1 and 1\frac{1}{4}

(D) 1\frac{1}{4} and 1\frac{1}{2}

(E) 1\frac{1}{2} and 2
________________________________

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

Now, \frac{71}{72} is less but very close to 1, so the answer is B.

Answer: B.

Else, one can notice that since \frac{1}{9} is less than \frac{1}{8}, thus \frac{7}{8}+\frac{1}{9} is less than 1. Therefore we can eliminate answer choices C, D, and E. Next, since \frac{7}{8}>\frac{3}{4}=\frac{6}{8}, then answer choice A is also out. So, only answer choice B remains.

Answer: B.
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Re: The sum 7/8+1/9 is between [#permalink] New post 24 Sep 2012, 04:24
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7/8 + 1/9 ---> .864+ .11--->.97
Answer B
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Re: The sum 7/8+1/9 is between [#permalink] New post 24 Sep 2012, 04:52
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7/8 + 1/9 = 71/72, which is surely between 3/4 to 1.

So the answer choice B.
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Re: The sum 7/8+1/9 is between [#permalink] New post 24 Sep 2012, 07:54
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Bunuel wrote:

The sum \frac{7}{8}+\frac{1}{9} is between

(A) \frac{1}{2} and \frac{3}{4}

(B) \frac{3}{4} and 1

(C) 1 and 1\frac{1}{4}

(D) 1\frac{1}{4} and 1\frac{1}{2}

(E) 1\frac{1}{2} and 2



taking LCM of denominator, the expression becomes
7/8 + 1/9 = (63+8)/72 = 71/72
This is slightly lesser than 1, which satisfies option B

Hence B
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Re: The sum 7/8+1/9 is between [#permalink] New post 24 Sep 2012, 09:45
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Bunuel wrote:
The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

The sum \frac{7}{8}+\frac{1}{9} is between

(A) \frac{1}{2} and \frac{3}{4}

(B) \frac{3}{4} and 1

(C) 1 and 1\frac{1}{4}

(D) 1\frac{1}{4} and 1\frac{1}{2}

(E) 1\frac{1}{2} and 2

Practice Questions
Question: 46
Page: 158
Difficulty: 600


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\frac{7}{8}+\frac{1}{9}<\frac{7}{8}+\frac{1}{8}=1 and \frac{7}{8}+\frac{1}{9}>\frac{6}{8}=\frac{3}{4}.

Hence, Answer C.
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Re: The sum 7/8+1/9 is between [#permalink] New post 24 Sep 2012, 10:44
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Re: The sum 7/8+1/9 is between [#permalink] New post 28 Sep 2012, 03:25
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SOLUTION:

The sum \frac{7}{8}+\frac{1}{9} is between

(A) \frac{1}{2} and \frac{3}{4}

(B) \frac{3}{4} and 1

(C) 1 and 1\frac{1}{4}

(D) 1\frac{1}{4} and 1\frac{1}{2}

(E) 1\frac{1}{2} and 2
________________________________

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

Now, \frac{71}{72} is less but very close to 1, so the answer is B.

Answer: B.

Else, one can notice that since \frac{1}{9} is less than \frac{1}{8}, thus \frac{7}{8}+\frac{1}{9} is less than 1. Therefore we can eliminate answer choices C, D, and E. Next, since \frac{7}{8}>\frac{3}{4}=\frac{6}{8}, then answer choice A is also out. So, only answer choice B remains.

Answer: B.

Kudos points given to everyone with correct solution. Let me know if I missed someone.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: The sum 7/8+1/9 is between [#permalink] New post 27 Dec 2013, 08:00
Bunuel wrote:
The sum \frac{7}{8}+\frac{1}{9} is between

(A) \frac{1}{2} and \frac{3}{4}

(B) \frac{3}{4} and 1

(C) 1 and 1\frac{1}{4}

(D) 1\frac{1}{4} and 1\frac{1}{2}

(E) 1\frac{1}{2} and 2

Practice Questions
Question: 46
Page: 158
Difficulty: 550



If you know how to efficiently convert fractions to decimals, this question is pretty straightforward:

1/8 = 0.125 so 7/8 = 0.875... 1/9 = 0.111111...

So 0.875 + 0.111 = 0.986.. Only B works.
Re: The sum 7/8+1/9 is between   [#permalink] 27 Dec 2013, 08:00
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