Question 1187499
let x = the denominator.
then 2x - 1 = the numerator.
your fraction is (2x - 1) / x.
add 3 to both numerator and denominator to get:
(2x + 2) / (x + 3) = 3/2
multiply both sides of the equation by (x + 3) to get:3x
2x + 2 = 3/2 * (x + 3)
multiply both sides of the equation by 2 to get:
4x + 4 = 3 * (x + 3)
simplify to get:
4x + 4 = 3x + 9
subtract 3x from both sides of the equation and subtract 4 from both sides of the equation to get:
x = 5.


that should be your solution.
confirm by replacing x in the original equation with 5 to get:
(2x - 1) / x becomes:
9 / 5
add 3 to both numerator and denominator to get:
12 / 8
simplify to get:
3/2.


x = 5 checks out ok.
your solution is that the original fraction is 9/5.