The sum 7/8+1/9 is between

Question

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

Bunuel · Accepted Answer

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.

EvaJager · Answer

\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.

fameatop · Answer

7/8 + 1/9 ---> .864+ .11--->.97
Answer B

Dhruvaj · Answer

7/8 + 1/9 = 71/72, which is surely between 3/4 to 1.

So the answer choice B.

dexerash · Answer

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

Carcass · Answer

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

aeglorre · Answer

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.

ENGRTOMBA2018 · Answer

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:

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.

mcelroytutoring · Answer

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 70837 times ]

ScottTargetTestPrep · Answer

Let’s first determine the sum of 7/8 and 1/9.

7/8 + 1/9

Getting a common denominator of 72 gives us:

63/72 + 8/72 =71/72

Notice that 71/72 is just a bit less than 1. This will be useful when analyzing our answer choices.

A) ½ and ¾

Since 3/4 = 54/72, we can see that 71/72 is greater than ¾. Answer choice A is not correct.

B) 3/4 and 1

We see that 71/72 is greater than ¾ and less than 1. Answer choice B is correct. To be certain, let’s check the other answer choices.

C) 1 and 1 1/4

Since 71/72 is less than 1, answer choice C is not correct.

D) 1 1/4 and 1 1/2

Since 71/72 is less than 1, answer choice D is not correct.

E) 1 1/2 and 2

Since 71/72 is less than 1, answer choice E is not correct.

The answer is B.

anshul1989 · Answer

7/8 +1/9 ==> 71/72 ==> 0.98 
hence, B

EliteSchools · Answer

7/8 =0.875 
1/9 =0.111 
so total = 0.875 + 0.111 = 0.986

so it is option B

given thing is between

3/4 =0.75 and 1

JLambert · Answer

1/9 is less than the 1/8 it would take to hit 1, so we know it's less than 1. That just leaves A and B. 3/4 = 6/8 which is less than 7/8, so we know it has to be higher than that. B becomes the most logical answer without you having to fully solve.

totaltestprepNick · Answer

B https://www.youtube.com/watch?v=GKUPOzma4vk Nick Slavkovich, GMAT/GRE tutor with 20+ years of experience tutoring@totaltestprep.net

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