Question

the numerator of a fracton is 6 less than the denominator. if 3 is added to the numerator ,the fraction becomes equal to 2/3 find the original fraction​

Answer 1

Answer:

3/9

Step-by-step explanation:

let the denominator be X

and numerator be x-6

ATQ,

(x-6)/X=2/3

3x-18+9=2x

3x-9=2x

X=9

Denominator=X=9

numerator=x-6 =9-6 =3

Then, original fraction will be 3/9

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Answer 2

N=x

D=x+6

ATP

N=x+3=2

D=x+6=3

CROSS MULTIPLY

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

2x+12=3x+9

2x+12-9=3x

3=3x-2x

3=x

N=3

D=3+6

=9

=3/9

Verification

3+3=6

3+6 =9

=2/3