Question

The numerator of a fraction is 6 less than the denominator.If 1 is added to both the numerator and the denominator, the fraction becomes 1/2.Find the fraction

Answer 1

Answer:

Step-by-step explanation:

Let the numerator of the fraction be x.

Then denominator=x+3

Fraction=  

x+3

x

​  

 

If the numerator is added to the denominator

the new fraction=  

Denominator+Numerator

Numerator

​  

 

⇒  

(x+3)+x

x

​  

=  

7

2

​  

 

⇒  

2x+3

x

​  

=  

7

2

​  

 

⇒7x=4x+6

⇒7x−4x=6

⇒3x=6 or x=  

3

6

​  

=2

Numerator=x=2

Denominator=x+3=2+3=5

Fraction=  

5

2