Of the following, which is most nearly equal to 2/3 ?

Question

Of the following, which is most nearly equal to  \frac{2}{3}  ?

A.  \frac{3}{4}

B.  \frac{5}{6}

C.  \frac{7}{9}

D.  \frac{11}{15}

E.  \frac{15}{21}

r3shabh · Accepted Answer

My approach :-
each numerator is just one more from being 2/3 i.e.
7/9=(6/9)+(1/9)
.
.
15/21=(14/21)+(1/21)

1/21 will give the least deviation from 2/3
hence 
E option is correct

CareerGeek · Answer

2/3 = 0.66

A. 3/4 = 0.75
B. 5/6 = 0.833 
C. 7/9 = 0.7777
D. 11/15 = 0.733
E. 15/21 = 5/7 = 0.71

IMO Option E

ScottTargetTestPrep · Answer

We can convert the denominator of 2/3 easily to the match the denominators in choices B to E, and they are 4/6, 6/9, 10/15, 14/21, respectively. We see that each numerator in choices B to E is 1 more than the equivalent fraction of 2/3. In this case, the larger the numerator, the closer the fraction is to 2/3. Thus 15/21 is closest to 14/21 = 2/3. This leaves us with choice A to consider. Since 3/4 = 63/84, 15/21 = 60/84 and 2/3 = 56/84, we see that 15/21 is closer to 2/3 than ¾ is.

Answer: E

EgmatQuantExpert · Answer

Solution

To find  
 • Among the given fraction, which is closet to 2/3 or 0.66

Approach and Working out

Let’s check each option.
 Option A: 3/4 
 • 3/4 = 0.75
• Distance from 2/3 = 3/4 – 2/3 = 0.09

Option B: 5/6 
 • 5/ 6 = 0.83
• Farthest from ¾

Option C: 7/9 
 • 7/9 = 0.77
• Farthest from ¾

Option D: 11/15 
 • 11/15 = 0.73
• nearest from ¾

Option E: 15/21 
 • 15/21 = 5/7 = 0.71
• nearest from 11/15

Thus, option E is the correct answer.

Correct Answer: Option E

tbhauer · Answer

2/3 = 0.67 = 4/6 = 6/9 = 10/15 = 14/21
because all of our possible answers (with the exception of 3/4, which can be eliminated as an answer immediately) are equal to 1 fraction more than the equivalent of 2/3, the answer with the larger denominator will be closest, in this case 15/21 (E)

bumpbot · Answer

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Of the following, which is most nearly equal to 2/3 ?

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