7th Class Mathematics Rational Numbers Question Bank Rational Numbers

  • question_answer
    The value of \[1+\frac{1}{1+\frac{1}{5-\frac{1}{5}}}\]is...............                                       

    A)  \[\frac{36}{29}\]                      

    B)  \[\frac{53}{29}\]     

    C)  \[\frac{17}{8}\]                                    

    D) None of these

    Correct Answer: B

    Solution :

    (b) \[5-\frac{1}{5}=\frac{24}{5}\] then \[\frac{1}{{}^{24}/{}_{5}}=\frac{5}{24}\]then \[1+\frac{5}{24}=\frac{29}{24}\]then, \[\frac{1}{{}^{29}/{}_{24}}=\frac{24}{29}\]then \[1+\frac{24}{29}=\frac{53}{29}\]     


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