My Denominator Is 6 More Than My Numerator Subtract Me From 8/9 The Difference Is 2/9

My denominator is 6 more than my numerator subtract me from 8/9 the difference is 2/9

 

Answer:

The fraction is 12/18 or 6/9 or 2/3.

Step-by-step explanation:

Numerator: x

Denominator: x+6

Subtract from 8/9 to get 2/9:

(8/9) - (x)/(x+6) = 2/9

(x)/(x+6) = (8/9) - (2/9)

(x)/(x+6) = 6/9

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

Cross-multiply:

3(x) = 2(x+6)

3x = 2x + 12

3x - 2x = 12

x = 12

The fraction:

Numerator: x = 12

Denominator: 12+6 = 18

The fraction: 12/18 or 6/9 or 2/3.

Check:

8/9 - 6/9 = 2/9

2/9 = 2/9  (True)