Question

The denominator of a rational number is greater than its numerator by 4. if 3 subtracted from the numerator and 4 added to the denominator, the new number becomes 2/13. find the original number
pls tell me the ans of this :(

Answer 1

Answer:

5/9

Step-by-step explanation:

Let the numerator be x.

Denominator = x+4

According to Question,

(x-3) / (x+4+4) = 2/13

=> (x-3) / (x+8) = 2/13

=> 13(x-3) = 2(x+8)

=> 13x-39 = 2x+16

=> 13x-2x = 16+39

=> 11x = 55

=> x = 55/11

=> x = 5

Hence, numerator = 5

Denominator = (5+4) = 9

Therefore, the original fraction is 5/9.