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Q.

Simplify the following to its lowest term. 75 80  


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a

19 16  

b

17 16  

c

15 16  

d

13 16   

answer is C.

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Detailed Solution

The given fraction is 75 80 .  
The factors of numerator 75 are 1, 3, 5, 15, 25 and 75.
The factors of denominator 80 are 1, 2, 4, 5, 8, 10, 12, 16, 20, 40 and 80.
So, the common factors of both the numbers are 1 and 5.
Therefore, the HCF of 75 and 80 is 5.
On dividing both the numerator and denominator by 5, we get
  75 5 80 5 = 15 16  
Therefore the lowest term of 75 80   is equal to 15 16 .  
Hence option (3) is correct.
 
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