Question

Convert 0.999...into rational number

Answer 1

Let x = 0.99......
100x = 99.99.....

Now subtract
100x - x = 99.99 - 0.99
99x = 99
x = 99/99 = 1

Hope This Helps You!

Answer 2

Hi !

Let x = 0.99......          ---> (1)

then,

100x = 99.99.....         ---> (2)

Subtracting (2) - (1)

100x - x = 99.99 - 0.99

99x = 99

x = 99/99
   = 1