If the numerator of a fraction is increased by 200% and the denominator is increased by 200%, then resultant fraction is $$2\frac{4}{5}$$. What is the original fraction?

Let the original fraction be $$\ \frac{\ a}{b}$$.

Given that Numerator, a is increased by 200% or it becomes 3 times. So, new numerator= 3a.

The denominator increases by 200%, and it also becomes 3 times. So, new denominator= 3b.

So, the new fraction= $$\ \frac{\ 3a}{3b}$$, which is same as $$\ \frac{\ a}{b}$$, the old fraction. 

The value of the fraction is given to be $$\ 2\frac{\ 4}{5}=\ \ \frac{\ 14}{5}$$, which is also the old fraction.

Since, none of the first three options match. Option D is the correct choice.