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Q.

What is the ascending order of fractions 2 3 , 5 6 , 7 9 and 11 18 ?


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a

2 3 < 7 9 < 5 6 < 11 18

b

11 18 < 7 9 < 2 3 < 5 6

c

11 18 < 2 3 < 7 9 < 5 6

d

5 6 < 2 3 < 7 9 < 11 18  

answer is C.

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Detailed Solution

Given fractions are 2 3 , 5 6 , 7 9 and 11 18 .
We know that,
In the case of like fractions, the fraction with a greater numerator will be greater.
In the case of unlike-fractions, the fraction with a smaller denominator will be greater.
Taking LCM and making the denominators same,
2 3 × 6 6 = 12 18 5 6 × 3 3 = 15 18 7 9 × 2 2 = 14 18 11 18 × 1 1 = 11 18 So, in this question, the fraction with a greater numerator will be greater.
Thus, 11 18 < 12 18 < 14 18 < 15 18 .
So, the ascending order is,
11 18 < 2 3 < 7 9 < 5 6 .
Hence, option (3) is correct.
 
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