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Q.

For the decimal 0.2 35 ¯  .what is the rational number?


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a

    3 11  

b

      14 11  

c

      1 3  

d

      233 990   

answer is D.

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Detailed Solution

Given,
The decimal number is 0.2 35 ¯  .
Let the decimal number 0.2 35 ¯   be expressed as variable x.
  ⇒x=0.23535.. 1   Multiply both sides by 1000, to get,
⇒1000x=235.3535... 2   Subtract (1)     from (2)    .
⇒1000x−x=235.535535−0.23535 ⇒990x=233  
  ⇒x= 233 990   Thus, the rational number is 233 990  .
Therefore, option(4)     is correct answer.
 
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