Question 752813
let fraction is x/y
when numerator increase by 200% 
means numerator will be x+2x =3x
and denominator increased by 300% means denominator will be  y = 3y =4y
new fraction will be 3x/4y =6/66 (given)
we can say 
3x/4y = 6/11
dividing numerator by 3 and denominator by 4 both side we will get
x/y =6/3/11/4
x/y=6x4/11x3
x/y =24/33
x/y =8/11
answer 
fraction will be  8/11