Question

the numerator of a fraction is 6 less than the denominator. if 3 is added to the numerator and 1 is subtracted from the denominator, the fraction is equal to 2/3. find the original fraction.​

Answer 1

Step-by-step explanation:

let x be the number

So,

x-6 is our number

x

again

x-6 +3 = 2

x-1 3

3(x-3)= 2(x-1)

3x-9= 2x-2

3x-2x= -2+9

x = 7

therefore our faction is = x-6

x

= (7-6)/7= 1/7