Q.

Find five rational numbers between 1 4   and 1 2   .
 


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a

7 24 , 8 24 , 9 24 , 10 24 , 11 24  

b

9 25 , 3 10 , 1 10 , 1 25 , 2 25  

c

49 80 , 5 8 , 51 80 , 26 40 , 27 40 ,  

d

None of the above 

answer is A.

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Detailed Solution

It is given 1 4   and 1 2  .
Multiplying by 6 in the numerator and denominator of the fraction to make the denominators same for both the given numbers,
1 4 1×6 4×6 = 6 24  
Multiplying by 12 in the numerator and denominator of the fraction,
1 2 1×12 2×12 = 12 24  
The five rational numbers between 6 24   and 12 24   are,
= 7 24 , 8 24 , 9 24 , 10 24 , 11 24  
Hence, the five rational numbers between 1 4   and 1 2   are 7 24 , 8 24 , 9 24 , 10 24 , 11 24  .
Correct option is 1.
 
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