Q.


Find five rational numbers between 2 3   and 4 5   .

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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

41 60 , 42 60 , 43 60 , 44 60 , 45 60  

d

1 6 , 2 6 , 3 6 , 4 6 , 5 6   

answer is C.

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Detailed Solution

It is given, 2 3   and 4 5   .
Multiply by 20 in the numerator and denominator of the fraction to make the denominators same for both the given numbers,
2 3 = 2×20 3×20 = 40 60  
Multiply by 12 in the numerator and denominator of the fraction,
4 5 = 4×12 5×12 = 48 60  
The five rational numbers that lie between Question Image and 48 60  are,
= 41 60 , 42 60 , 43 60 , 44 60 , 45 60  
Hence, the five rational numbers lie between 2 3   and 4 5   are 41 60 , 42 60 , 43 60 , 44 60 , 45 60  .
Correct option is 3
 
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