Question

The numerator of a rational number is 2 less than 3 times of its denominator. If 8 is added to its numerator and 6 is added to its denominator then new fraction will be 5/3 find that fraction​

Answer 1

x-2+8/3x+6=5/3
x+6/3x+6=5/3
3x+18=15x+30
18-30 =15x-3x
-22=12x
x=-11

Answer 2

Answer:

Step-by-step explanation:let rqtional number be X/Y

X=3y-2

X+8/Y+6=5/3

(X+8)3=(Y+6)5

3X+24=5Y+30

3X-5Y=6

3(3Y-2)-5Y=6

9Y-6-5Y=6

4Y-6=6

4Y=12

Y=12/4=3

X=3Y-2

X=3×3-2

X=7

The rational number is 7/3