Question

4. In a fraction, twice the numerator is 2 more than the denominator. If 3 is added to the numerator and to the denominator, the new fraction is 2/3. find the original fraction ​

Answer 1

Answer:

7/12

Step-by-step explanation:

let the numerator be x denominator = 2x-2

3 is added :

Numerator= x+3

Denominator= 2x-2+3

=2x+1

x+3/2x+1=2/3

3(x+3)=2(2x+1)

3x+9=4x+2

3x-4x=2-9

-X=-7

x=7

Original Numerator = x = 7 Original Denominator = 2x-2

= 2(7)-2

= 14-2

= 12

Original Fraction = 7/12