Question 1187499

the numerator of the fraction is one less than twice the denominator. If 3 is added to both numerator and denominator, the resulting fraction can be reduced to 3/2 what is the original fraction. 
please help me :(​
<pre>Let denominator be D
Then numerator is: 2D - 1
We then get: {{{matrix(2,3, (2D - 1 + 3)/(D + 3), "=", 3/2, (2D + 2)/(D + 3), "=", 3/2)}}}
2(2D + 2) = 3(D + 3) ------ Cross-multiplying
4D + 4 = 3D + 9
4D - 3D = 9 - 4
Denominator, or D = 5
Numerator: 2D - 1 = 2(5) - 1 = 10 - 1 = 9
{{{highlight_green(matrix(1,3, Original, "fraction:", 9/5))}}}