Question

The value of 0.22222........
in the form of p/q(rational number)is *

a) 1/5

b) 2/9

c) 2/5

d) 1/8

​

Answer 1

Answer:

option b)2/9

explanation in aatchment see please

hope it helps

thank you!!^^

Answer 2

Given : 0.22222.....  

To find :  value  in form of p/q

Solution:

Let say

N = 0.22222

=> N =  $0.\overline{2}$

Multiplying both sides by 10

=> 10N =  $2.\overline{2}$

10N - N  =  $2.\overline{2}$  - $0.\overline{2}$

=> 9N = 2

=> N = 2/9

=>  $0.\overline{2}$   = 2/9

=>  0.22222  = 2/9

Option b is correct

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