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Q.

Simplify the following to its lowest term.


52 76  


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a

11 19  

b

15 19  

c

13 19  

d

17 19   

answer is C.

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Detailed Solution

The given fraction is 52 76 .  
The factors of numerator 52 are 1, 2, 4, 13, 26 and 52.
The factors of denominator 76 are 1, 2, 4, 19, 38 and 76.
So, the common factors of both the numbers are 1, 2 and 4.
Therefore, the HCF of 52 and 76 = 4.
On dividing both the numerator and denominator by 4, we get
  52 4 76 4  =  13 19  
Therefore the lowest term of 52 76   is equal to 13 19 .  
Hence option (3) is correct.
 
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Simplify the following to its lowest term. 52 76