Question

Subtracting 1 from the denominator of a
fraction, it reduces to 1/2. But, adding 1 to
the denominator of the fraction, it reduces
to 1/3. Represent this information algebraically
and geometrically.​

Answer 1

Answer:

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

Step-by-step explanation: