Question

1) If we add 1 to the number and subtract 1 from the denominator, a fraction reduces to 1. It becomes 1/2 if we only add 1 to the denominator. What is the fraction?​

Answer 1

Answer:

Given:-

Of we add 1 to numerator,n subtract 1 from denominator,a gestion reduce the 1.

It become 1/2 of we only add only 1yo denominator.

to find:- the fraction

solution:- let the fraction be x/y

according to question

x+1/y-1.

x-y=-2. .i.

x/y+1=1/2

2x-y=1. ii

subtracting equation I from ii

x=3. .iii.

putting this value the equation i we get

3-y=-2

-y=5

y=5

hence, the fration is 3/5

hope it will help

Answer 2

:-

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