The denominator of a fraction in its simplest form is greater than the numerator by 5 . If 3 is added to the numerator, and 2 added to the denominator, then the fraction itself is increased by 1/3 . Find the original fraction.

The original fraction is 1/6

Step-by-step explanation:

Here we have a word problem as follows

Let the Denominator be D and

The Numerator be N

D = 5 + N

Therefore,

Which gives

 and then we have

Therefore, we have

and

Which gives

That is the numerator = 1 or -10

and the denominator = N + 5  is therefore,

1 + 5 = 6 or

-10 + 5 = -5

The original fraction is therefore

hope it

step-by-step explanation:

x^(1/6) · x^(1/6) · x^(1/6)   ·x^(1/6) = x^(4/6)   since we add the exponents

4/6 can be simplified to 2/3

the simplified form is x^(2/3)