Question

the numerator of a fraction is 6 less than the denominator. if 3 is added to the numerator, the fraction is equal to 2 /3. what is 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-6+3 = x-3

then, according to the question,

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

$= > 2 \times x = 3(x - 3) \: by \: cross \: multiplication$

=> 2x = 3x - 9

=> 2x - 3x = -9

=> -x = -9

=> x = 9

HENCE, DENOMINATOR= 9 AND DENOMINATOR = 9 - 6 = 3

THUS, ORIGINAL FRACTION IS :-

$\frac{3}{ {9} } = \frac{1}{3}$

$<b> hope it is helpful ✌️!$