Question

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

Answer 1

Answer:

Let the denominator be x so the numerator will be x-6

Now atq

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

=x-3/x=2/3

Now by cross multiplication

3(x-3)=2x

3x-9=2x

3x-2x=9

X=9

So the original fraction was

3/9 or 1/3

Answer 2

Answer:

3/9 = 1/3

Step-by-step explanation:

Let numerator be x.

Therefore,

Denominator = x + 6

x/ x+6 is the original fraction.

3 is added to the numerator.

x + 3/ x + 6 = 2/3

Cross multiply.

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

3x + 9 = 2x + 12

3x - 2x = 12- 9

x = 3

Therefore,

Original Fraction = x / x + 6

Original Fraction = 3 / 3+6

= 3 / 9

= 1/3