Question

A fraction becomes2/11 , if 2 is added to both the numerator and the denominator. If 3 is
added to both the numerator and the denominator it becomes5/6 . Find the fraction

Answer 1

Answer:

7/9  if 2/11 is 9/11

Step-by-step explanation:

2/11 should be 9/11 then answer would be 7/9

let number = n/d

(n+2)/(d+2) = 9/11

11 n + 22 = 9d + 18

11n - 9d = -4

55n - 45d = -20

(n+3)/(d+3) = 5/6

6n +18 = 5d + 15

6n - 5d = -3

54n -45d = -27

so n = 7

42 -5d = -3

5d = 45

d = 9