Question

The denominator of a fraction is one more than the numerator, If 3 subtracted to the numerator and to the denominator, the resulting fraction is equivalent to ​

Answer 1

Correct answer:-

Let the numerator of the fraction be x

Denominator=x+1

Fraction=x/x+1

When 3 is subtracted from both the numerator and the denominator,the fraction=x-3/(x-3+1)=x-3/(x-2)

The fraction equals 1/2

x-3/(x-2)=1/2

2(x-3)=x-2

2x-6=x-2

2x -x=6–2

x=4

The original fraction=4/4+1=4/5

Hence, fraction=4/5

hope it helps ✅✅✅

#MichAditi✨✌️

Answer 2

Answer:

4/5

Step-by-step explanation:

Let the numerator of the fraction be x  

Denominator=x+1  

Fraction=x/x+1  

When 3 is subtracted from both the numerator and the denominator,the fraction=x-3/(x-3+1)=x-3/(x-2)  

The fraction equals 1/2  

x-3/(x-2)=1/2  

2(x-3)=x-2  

2x-6=x-2  

2x -x=6–2  

x=4

The original fraction=4/4+1=4/5  

Fraction=4/5