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\frac{1}{\frac{14}{7}+\frac{3}{7}}
Convert 2 to fraction \frac{14}{7}.
\frac{1}{\frac{14+3}{7}}
Since \frac{14}{7} and \frac{3}{7} have the same denominator, add them by adding their numerators.
\frac{1}{\frac{17}{7}}
Add 14 and 3 to get 17.
1\times \frac{7}{17}
Divide 1 by \frac{17}{7} by multiplying 1 by the reciprocal of \frac{17}{7}.
\frac{7}{17}
Multiply 1 and \frac{7}{17} to get \frac{7}{17}.