the numerator and denominator of a fraction are in the ratio 3 : 2. If 3 is added to the numerator and 2 is substracted from the denominator, a new fraction is formed whose value is 9/4 l. Find the original fraction​

Let numerator of the fraction = 3x

and

Denominator of the fraction = 2x

( since, they are in ratio 3:2)

According to the question ;

=> ( 3x + 3 ) / (2x - 2) = 9/4

=> 4(3x +3) = 9( 2x -2)

=> 12x + 12 = 18x -18

=> 18x -12x = 12 +18

=> 6x = 30

=> x = 5

Thus,

The Original fraction = 3x/2x

= 3•5/2•5

= 15/10

Hence, the required fraction is 15/10.