If is added to both numerator and denominator of a fraction, the fraction become 1/2 if 8 is added to both, the fraction become 2/3 what is the fraction

The fraction is  

Step-by-step explanation:

There is a data missing in the question so the complete question is below:

If 1 is added to both numerator and denominator of a fraction,the fraction become 1/2 if 8 is added to both, the fraction become 2/3 what is the fraction?

Now, to find the fraction.

Let the fraction be

If 1 is added to both numerator and denominator of a fraction,the fraction become 1/2.

By cross multiplying we get:

Subtracting both sides by we get:

   ......(1)

Now, if 8 is added to both, the fraction become 2/3:

By cross multiplying we get:

Subtracting both sides by 16 we get:

Substituting the value of from equation (1) we get:

Adding both sides by 2 we get:

Subtracting both sides by 3 we get:

Now, substituting the value of in equation (1):

Therefore, the fraction is  

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