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Q.

Express 69 92  as a rational number in simplest form.


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a

3 4

b

4 5

c

5 6

d

6 7  

answer is A.

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Detailed Solution

We are given a rational number as 69 92 , and we have to express it in its simplest form.
Prime factorization of the numerator i.e., 69 and the denominator i.e., 92 in the given number:
69 92 = 23×3 23×4
Now as 23 is a common factor in the numerator and the denominator so it will be canceled out and so we have,
69 92 = 3 4
Therefore, 69 92  in its simplest form is 3 4 .
Hence, the correct option is (1).
 
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