The sum of the numerator and denominator of a fraction is 11. If 1 is added to the numerator and 2 is subtracted from the denominator, it becomes \frac{2}{3}. The fraction is:

  • Option 1)

    \frac{5}{6}

  • Option 2)

    \frac{6}{5}

  • Option 3)

    \frac{3}{8}

  • Option 4)

    \frac{4}{3}

  • Option 5)

    \frac{8}{3}

Answers (1)

               N+D=11

\frac{(N+1)}{(D-2)}=\frac{2}{3}

\frac{(12-D)}{(D-2)}=\frac{2}{3}

By\: solving\: this

N=3, D=8

\frac{N}{D}=\frac{3}{8}

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