Question

the numerator of the fraction is 6 less than the denominator.if 3 is added to the numerator the fraction is equal to 2/3.find the original fraction equal to.

Answer 1

☺️hey mate! here's your answer!☺️

let x be the denominator.

so, numerator = x - 6

if ,

numerator = x + 3

according to the question,

$\frac{x + 3}{x - 6} = \frac{2}{3}$

so, by cross Multiplication,

=> 3( x + 3 ) = 2 ( x - 6 )

=> 3x + 9 = 2x - 12

=> 3x - 2x = -12 - 9

=> x = - 21

thus,

numerator = -21

and, denominator = -21 -6 = -27

thus,

original fraction ,

$= \frac{21}{27}$

hope it is helpful ✌️!

Answer 2

numerator=x=x-6+3=x-3
denominator=x
=x-3/x
x-3/x=2/3
3(x-3)=2(x)
3x-9=2x
3x-2x=9
x=9
=9-3/9
=6/9
=3/6
=1/3