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

  • question_answer
    Express the mixed recurring decimal 4.32 in the form \[\frac{p}{q}.\]

    A)  \[\frac{389}{90}\]                    

    B) \[\frac{329}{90}\]         

    C)  \[\frac{29}{90}\]                      

    D)         \[\frac{233}{990}\]

    Correct Answer: A

    Solution :

    Let \[x=4.3\bar{2}=4.3222...\]                           ?(i) \[\Rightarrow \]\[10x=43.222...\]                           ?(ii) Subtracting (i) form (ii), we get \[9x=38.9\Rightarrow x=\frac{389}{90}\]


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