Here, consider original number = x/y
where, x=numerator & y=denominator
We know, y = 5x [ given in question]
A.T.Q, x+2/y+2 = 2/3
3(x+2) = 2(y+2)
3x+6 = 2y+4
Now, substitute for y=5x. It would be:
3x+6 = 10x+4
10x-3x = 6-4
7x = 2
x = 2/7
So, y = 2/7 * 5 = 10/7
Then, the original number will be: 2/7 / 10/7 = 2/10
So, your final answer is 2/10
Hope this helps!