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6th Class Mathematics Fractions Question Bank Fractions and Decimals

  • question_answer
    If \[x=1+\frac{1}{1+\frac{1}{1+\frac{1}{1+\frac{1}{2}}}}\]then\[\left( 2x+\frac{7}{4} \right)=?\]

    A)  3                                

    B)  4           

    C)  5                                

    D)  6

    Correct Answer: C

    Solution :

    \[x=1+\frac{1}{1+\frac{1}{1+\frac{2}{3}}}\] \[=1+\frac{1}{1+\frac{3}{5}}\] \[=1+\frac{5}{8}\] \[\therefore \]\[x=\frac{13}{8}\] \[=2x+\frac{7}{4}=\frac{13}{4}+\frac{7}{4}=\frac{20}{4}=5\]


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