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# The sum 7/8+1/9 is between

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Math Expert
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The sum 7/8+1/9 is between [#permalink]

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24 Sep 2012, 04:53
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90% (01:43) correct 10% (00:42) wrong based on 765 sessions

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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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Math Expert
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Re: The sum 7/8+1/9 is between [#permalink]

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24 Sep 2012, 04:53
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Expert's post
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.

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.

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Re: The sum 7/8+1/9 is between [#permalink]

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24 Sep 2012, 05:24
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7/8 + 1/9 ---> .864+ .11--->.97
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Re: The sum 7/8+1/9 is between [#permalink]

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24 Sep 2012, 05:52
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7/8 + 1/9 = 71/72, which is surely between 3/4 to 1.

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Re: The sum 7/8+1/9 is between [#permalink]

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24 Sep 2012, 08:54
1
KUDOS
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]

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24 Sep 2012, 10:45
1
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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 $$\frac{7}{8}+\frac{1}{9}>\frac{6}{8}=\frac{3}{4}$$.

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Re: The sum 7/8+1/9 is between [#permalink]

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24 Sep 2012, 11:44
1
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Expert's post
LCM ----> 71/72 we can notice that 72/72 is 1 so 71/72 must be a bit less than 1 but is impossible to be under 3/4 (0.75). Must be between 3/4 and 1. So B
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Re: The sum 7/8+1/9 is between [#permalink]

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28 Sep 2012, 04:25
Expert's post
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.

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.

Kudos points given to everyone with correct solution. Let me know if I missed someone.
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Re: The sum 7/8+1/9 is between [#permalink]

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27 Dec 2013, 09:00
1
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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

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.
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Re: The sum 7/8+1/9 is between [#permalink]

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10 Sep 2014, 09:10
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

71/72

approx== 0.9

c,d,e,- greater than 1 .
a- less than .75
hence B
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Is there an easy way to solve this question? [#permalink]

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30 Aug 2015, 12:45
Is there an easy way to solve this question? The question is # 49 from OG16 and for those who don't have the new OG16, the question is

The sum of 7/8 + 1/9 is between

a.) 1/2 and 3/4
b.) 3/4 and 1
c.) 1 and 5/4
d.) 5/4 and 3/2
e.) 3/2 and 2.

The answer at the back of the OG is given in terms of estimation. Is there any other way of estimating? Probably an easy way? I did find the answer but I took about 3 minutes to answer the question. I am just trying to find a quicker way to solve these type of questions. Also, if you guys could let me know if we have any similar type of questions on GMATCLUB that would be amazing. Thank you so much!!!!!
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Re: Is there an easy way to solve this question? [#permalink]

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30 Aug 2015, 12:50
Expert's post
ozzykhan wrote:
Is there an easy way to solve this question? The question is # 49 from OG16 and for those who don't have the new OG16, the question is

The sum of 7/8 + 1/9 is between

a.) 1/2 and 3/4
b.) 3/4 and 1
c.) 1 and 5/4
d.) 5/4 and 3/2
e.) 3/2 and 2.

The answer at the back of the OG is given in terms of estimation. Is there any other way of estimating? Probably an easy way? I did find the answer but I took about 3 minutes to answer the question. I am just trying to find a quicker way to solve these type of questions. Also, if you guys could let me know if we have any similar type of questions on GMATCLUB that would be amazing. Thank you so much!!!!!

This question is discussed here: the-sum-7-8-1-9-is-between-139470.html

Hope it helps.

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Re: The sum 7/8+1/9 is between [#permalink]

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30 Aug 2015, 13:51
Expert's post
ozzykhan wrote:
Is there an easy way to solve this question? The question is # 49 from OG16 and for those who don't have the new OG16, the question is

The sum of 7/8 + 1/9 is between

a.) 1/2 and 3/4
b.) 3/4 and 1
c.) 1 and 5/4
d.) 5/4 and 3/2
e.) 3/2 and 2.

The answer at the back of the OG is given in terms of estimation. Is there any other way of estimating? Probably an easy way? I did find the answer but I took about 3 minutes to answer the question. I am just trying to find a quicker way to solve these type of questions. Also, if you guys could let me know if we have any similar type of questions on GMATCLUB that would be amazing. Thank you so much!!!!!

For this question (and most of GMAT Quant question) your first instinct should NEVER be to solve the question by brute force. GMAT questions are subtly disguised problems that will most often have easier answer routes.

In this question you are asked the value of 7/8 + 1/9 = a value very close to 1 + a small value = a value very close to 1 should be the final answer. Precise values: 0.875+0.11111... = 0.986

a.) 1/2 and 3/4. Eliminated as 1/2 = 0.5 and 3/4 = 0.75 . This range is not close to 1.
b.) 3/4 and 1. Keep
c.) 1 and 5/4. Eliminated as this range is >1
d.) 5/4 and 3/2. Eliminated as this range is >1
e.) 3/2 and 2. Eliminated as this range is >1

So you see 1 option is remaining and is thus the correct answer.

Additionally, you must remember the values of common fractions:

1/2 = 0.5
1/3 = 0.33..
1/4 = 0.25
1/5 = 0.20
1/9 = 0.11....
1/10 = 0.10
3/4 = 0.75
1/8 = 0.125 etc

Hope this helps.
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Re: The sum 7/8+1/9 is between   [#permalink] 30 Aug 2015, 13:51
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