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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.

Each week we'll be posting several questions from The Official Guide for GMAT® Review, 13th Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

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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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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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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.
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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!!!!!

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!!!!!

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!!!!!

Topics merged. Please follow forum posting guidelines.

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:

Attached is a visual that should help. This question is a good example of how you can compare numbers you do know (in this case, the sum of 7/8 and 1/8) to numbers you don't know (the sum of 7/8 and 1/9). I have also attached a geometric example with triangles. We know that a 6/6/6 triangle is 60/60/60 so a 6/6/7 triangle must have a smaller angle than 60 at its base.

Attachments

Screen Shot 2016-05-10 at 5.49.49 PM.png [ 59.54 KiB | Viewed 6061 times ]

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