:-

If we add 1 to numerator, and subtract 1 from the denomination, a fraction reduce the 1.

It becomes ½ if we only add 1 to the denominator.

To Find :-

The Fraction

Solution :-

Let the fraction be x/y                  

According to the question,

⇒ x + 1/y - 1 = 1                  

⇒ x - y = - 2 ... (i)

⇒ x/y + 1 = 1/2                  

⇒ 2x - y = 1 ... (ii)              

Subtracting equation (i) from equation (ii), we get                  

⇒ x = 3 ... (iii)            

Putting this value in equation (i), we get                  

⇒ 3 - y = - 2                  

⇒ -y =  5                  

⇒ y = 5                  

Hence, the fraction 3/5