Question

5. The length of period of 2/11 is
A. 3
B. 1
C. 2
D. None of these​

Answer 1

2/11 value is 0.181818181818181818..........

period is 2

Answer 2

Given :   2/11

To find : length of period

Solution:

2/11 = 18/99

= 18/(100 - 1)

= 18/(10² - 1)

2 is the  length of   period of 2/11

Another way

    2/11 =  0.18181818..........

=> 2/11 = $0.\overline{18}$

18 is being repeated again & again

hence  length of  period of 2/11 is 2

Verification that 2/11 = $0.\overline{18}$

Let say  N =  $0.\overline{18}$

100N =  $18.\overline{18}$

=> 99N = 18

=> N = 18/99

=> N = 2/11

length of period of 2/11 is 2  

option C is correct

Learn more:

Express 1.27 bar on 27 in the form of p/q, where p and q are integers ...

https://brainly.in/question/2457246