Q.

State whether the statement is true or false.


The largest fraction among the following fractions   2 5 , 16 35  and  9 14 is Question Image .


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a

True

b

False  

answer is B.

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Detailed Solution

Given fractions are Question Image .
Since the denominators of the above fractions are different , we need to take LCM of the denominators.
Therefore, the LCM of numbers 5, 35 and 14 = 70.
Using L.C.M. as a common denominator,
= 2 5 × 14 14 = 28 70 = 16 35 × 2 2 = 32 70
 And again multiplying the numerator and denominator of 9 14 with 5,
= 9 14 × 5 5 = 45 70
 Comparing each element,
28 70 < 32 70 < 45 70
 Hence, Question Image.
Therefore, the largest fraction is 16 35 among the following fractions 2 5 , 16 35  and  9 14 is false.
Hence, option (2) is correct.
 
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