Question

express o.363636....in the from p/q​

Answer 1

Answer:

let the value of x ,

x = 0.363636........ ---> ( I )

multiply by 10

10 x = 3.63636........ --------> ( ii )

multiply by 10

100x = 36.3636....... -----. > ( iii )

subtract ( I) from (iii)

100x -x = 36.3636 ... - 0.363636....

99x = 36

x = 36/99 = 12/33

x = 4/11

Answer 2

Let x = 0.363636.... --- 1

Now, multiply both sides with 100

So 10x = 36.363636..... --- 2

Now, subtract 1 from 2

100x - x =36.363636...... - 0.363636......

99x = 36

x = 36/99

x = 4/11

So, in form of p/q, 0.363636..... =4/11