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Q.

Simplify the following to its lowest term.


162 108  


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a

9 2  

b

3 2  

c

5 2  

d

7 2   

answer is B.

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Detailed Solution

The given fraction is 162 108 .  
The factors of numerator 162 are 1,2,3,6,9,18,27,54,81 and 162
The factors of denominator 108 are 1,2,3,4,6,9,12,18,27 and 54.
So, the common factors of both the numbers are 1,2,3,6,9,18,27 and 54.
Therefore, the HCF of 162 and 108 is 54.
On dividing both the numerator and denominator by 54, we get
162 54 108 54 = 3 2  
Therefore the lowest term of 162 108   is equal to 3 2 .  
Hence option (2) is correct.
 
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