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Q.

Simplify the following to its lowest term.


  84 98  


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a

5 7  

b

9 7  

c

6 7  

d

3 7   

answer is C.

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Detailed Solution

The given fraction is 84 98 .  
The factors of numerator 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84.
The factors of denominator 98 are 1, 2, 7, 14, 49 and 98.
So, the common factors of both the numbers are 1, 2, 7 and 14.
Therefore, the HCF of 84 and 98 = 14.
On dividing both the numerator and denominator by 14, we get
84 14 98 14  =  6 7  
Therefore the lowest term of 84 98   is equal to 6 7 .  
Hence option (3) is correct.
 
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