Question

a fraction becomes 9/11 if 2 is added to both numerator and denominator if 3 is added to both numerator and denominator it becomes 5 divided by 6 find the fraction

Answer 1

Let Numerator = x

Denominator = y

Fraction will = x/ y

A fraction becomes 9/11, if 2 is added to both the numerator and the denominator

(x+2) / y+2 = 9/11

Cross multiply we get

11 x + 22 = 9y + 18

Subtract 22 both side we get

11 x = 9 y – 4

Divide by 11 we get

x = 9 y – 4/11 ------------(1)

Given that 3 is added to both the numerator and the denominator it becomes 5/ 6.

If, 3 is added to both the numerator and the denominator it becomes 5/6

6

(x+3 )/ y + 3 = 5/6 --------- (2)

Cross multiply we get

6x + 18 = 5y + 15

Subtract the value of x now we get

6(9 y – 4 )/11 + 18 = 5y + 15

Subtract 18 both side we get

6(9 y – 4 )/11 = 5y - 3

54 – 24 = 55 y - 33

-y = -9

y = 9

Plug this value of y in equation (1) we get

x = 9 y – 4 / 11

x = (81 – 4)/77

x = 77/11

x = 7

Hence our fraction is 7/9

Answer 2

Answer:

Step-by-step explanation:

9/7