The value of  \frac{1}{2+\frac{1}{2+\frac{1}{2-\frac{1}{2}}}}\: is

  • Option 1)

    \frac{3}{8}

  • Option 2)

    \frac{5}{15}

  • Option 3)

    \frac{8}{3}

  • Option 4)

    \frac{8}{19}

  • Option 5)

    \frac{19}{8}

Answers (1)

By solving denominator which is equal to \frac{19}{8}

\frac{1}{\left ( \frac{19}{8} \right )}= \frac{8}{19}

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