1.

If we add 1 to the numerator and subtract 1 from the denominator, a fractionbecomes 1. It also becomes 1/2 if we only add 1 to the denominator. What is thefraction?​

Answer»

Answer:

3/5

Step-by-step EXPLANATION:

Given :-

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 is 3/5


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