Q.

For the decimal 0. 47 ¯  .what is the rational number?


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a

    3 11  

b

      14 11  

c

      47 99  

d

      3 1   

answer is C.

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Detailed Solution

Given,
The decimal number is 0. 47 ¯  .
Let the decimal number 0. 47 ¯   be expressed as variable x.
  x=0.4747.. 1   Multiply both sides by 100, to get,
100x=47.4747... 2   Subtract (1)     from (2)    .
100xx=47.47470.4747 99x=47  
x= 47 99   Thus, the rational number is 47 99  .
Therefore, option(3)     is correct answer.
 
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