Question

The denominator of a fraction is greater than it's numerator by 11. If 8 is added to both the numerator and a denominator,It reduces to 1/3 .find a fraction.

Answer 1

Answer:

The fraction is

$\frac{ - 5}{17} \\ \\ plz \: mark \: it \: as \: brainliest \: and \: \\ follow \: me$

Answer 2

Answer:

-5/17

Step-by-step explanation:

Let the numerator be x and denominator be x+11

Therefore, fraction= x/(x+11)

If 8 is added to both then we get.,

= (x+8) 1

- - - - - = - -

x+11+8 3

= x+8 1

- - - - = - - -

x+19 3

After cross multiply we get,

= 3(x+8) = x+ 19

= 3x+24=x+19

= 3x-x = 19 - 24

= 2x = - 5

= x = - 5/2 = -2.5

Numerator= x = - 2.5

Denominator = x+11 = - 2.5 + 11 = 8.5

Fraction= - 2.5/8.5= - 25/85

=-5/17ans.