Question

the numerator
of a fraction is 6 less than the denominator if 3 is added to the numerator the fraction becomes equal to 2 by 3 find the original fraction

Answer 1

HEY FRND REFER TO THIS ATTACHMENT....

Answer 2

Let,

Denominator = D

So, Numerator, N = D - 6 _____( 1 )

A/q

$\dfrac{( \ D - 6 \ ) + 3}{D}$ = $\dfrac{2}{3}$

$\dfrac{D - 3}{D}$ = $\dfrac{2}{3}$

On cross - multiplication, we get

3 ( D - 3 ) = 2 ( D )

3D - 9 = 2D

3D - 2D = 9

D = 9

Now,

Put this value in ( 1 ), we get

N = 9 - 6 = 3

So,

Original fraction = $\dfrac{3}{9}$ = $\dfrac{1}{3}$