Question

The numerator of a fraction is 4 less thandenominator if one is added to both numerator and denominator it becomes 1/2.find the number​

Answer 1

Answer: 3/7

Step-by-step explanation:

Let the Denominator be x  

∴ Numerator = x – 4  

When 1 is added to both

{ x - 4 + 1 }÷ { x + 1 } =   1 / 2  

{ x - 3 }/ { x + 1 } =   1  / 2  

{ 2 ( x - 3 ) = 1 ( x + 1 ) }

{ 2 x - 6 = x + 1 }

{ 2 x - x = 1 + 6 }

{ x = 7 }

SO,

=  { x - 4 }/ { x } =  { 7 - 4 }/  7

= 3 / 7

HOPE IT HELPS YOU..

Answer 2

Answer is 3/7

Let denominator=x

numerator=x-4

If 1 is added to both numerator and denominator, then

(x-4+1)/(x+1)=1/2

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

=2(x-3)=x+1

= 2x-6=x+1

=x=7

So numerator=x-4=3

denominator=x=7

So fraction =3/7