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9th Class Mathematics Number System and its Operations Question Bank Number Systems

  • question_answer
    Find the rational number for\[0.\overline{5}\].

    A) \[\frac{9}{5}\]              

    B)        \[\frac{5}{10}\] 

    C) \[\frac{5}{9}\]              

    D)        \[\frac{10}{5}\]             

    Correct Answer: C

    Solution :

    Let \[x=0.\bar{5}=0.555...\]                   ?(i) Multiply (i) by 10 on both sides \[10x=5.555\]                            ?(ii) Subtract (i) from (ii), to get \[x=\frac{5}{9}\]


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