The numerator of a fraction is twice the denominator.What is the fraction if the numerator is doubled and the denominator is decreased by three and...

According to enunciation, we'll put the denominator as x
and the numerator as 2x.

If we'll double the numerator,
we'll get:

2(2x) (1)

If we'll
decrease the denominator by 3, we'll have:

x - 3
 (2)

We'll divide (1) by (2) and we'll get
5/3:

2(2x)/(x - 3) = 5/3

We'll
cross multiply and we'll get:

12x =
5(x-3)

We'll remove the
brackets:

12x = 5x - 15

We'll
subtract 5x both sides:

7x =
-15

We'll divide by 7 both
sides:

x = -15/7

The original
ratio is 2x/x = 2, so it doesn't matter whatis the value of x, the quotient is a
constant.