Question

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

Answer 1

Answer:

let the denominator be x

then, numerator = x-6

according to question ,

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

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

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

=> 3(x-3) = 2x

=> 3x-9 = 2x

=> 3x-2x = 9

=> x = 9. (denominator)

numerator = x-6 => 9-6 = 3

then , fraction = 3/9

hope this helps

Answer 2

Answer:

Step-by-step explanation:

let the denominator be x

then, numerator = x-6

according to question ,

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

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

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

=> 3(x-3) = 2x

=> 3x-9 = 2x

=> 3x-2x = 9

=> x = 9. (denominator)

numerator = x-6 => 9-6 = 3

then , fraction = 3/9