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7th Class Mathematics Integers Question Bank Number System

  • question_answer
    The rational number for \[\mathbf{0}.\mathbf{3}\overline{\mathbf{51}}\] is

    A)  \[\frac{351}{990}\]                  

    B)  \[\frac{58}{165}\]

    C)  \[\frac{352}{990}\]                  

    D)  \[\frac{349}{3990}\]

    Correct Answer: B

    Solution :

    (b): \[0.3\overline{51}=0.3+0.0\overline{51}\] \[=0.3+\frac{1}{10}\times \left\{ 0.\overline{51} \right\}\] \[=0.3+\frac{1}{10}\times \frac{51}{99}\] \[\frac{3}{10}+~\frac{51}{990}\] \[=\frac{297+51}{990}=\frac{348}{990}=\frac{116}{330}=\frac{58}{165}\].


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