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Q.

For the decimal 1 .27 ¯  .what is the rational number?


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a

    3 11  

b

      14 11  

c

      1 3  

d

      3 1   

answer is B.

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Detailed Solution

Given,
The decimal number is 1 .27 ¯  .
Let the decimal number 1 .27 ¯   be expressed as variable x.
⇒x=1.2727.. 1   Multiply both sides by 100, to get,
⇒100x=127.2727... 2   Subtract (1)     from (2)    .
⇒100x−x=127.2727−1.2727 ⇒99x=126  
  ⇒x= 126 99   ⇒x= 14 11   Thus, the rational number is 14 11  .
Therefore, option(2)     is correct answer.
 
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