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BCECE Engineering BCECE Engineering Solved Paper-2004

  • question_answer
    The rational number which is equal to the number \[2.\overset{.}{\mathop{3}}\,\overset{.}{\mathop{5}}\,\overset{.}{\mathop{7}}\,\] with recurring decimal is:

    A) \[\frac{2355}{1001}\]     

    B)         \[\frac{2370}{997}\]      

    C)         \[\frac{2355}{999}\]                      

    D)         none of these

    Correct Answer: C

    Solution :

    Now, \[2.\overset{.}{\mathop{3}}\,\overset{.}{\mathop{5}}\,\overset{.}{\mathop{7}}\,\] \[=2+\frac{357}{999}\] \[=\frac{1998+357}{999}=\frac{2355}{999}\]


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