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\frac{1}{\frac{3}{3}+\frac{1}{3}}
Convert 1 to fraction \frac{3}{3}.
\frac{1}{\frac{3+1}{3}}
Since \frac{3}{3} and \frac{1}{3} have the same denominator, add them by adding their numerators.
\frac{1}{\frac{4}{3}}
Add 3 and 1 to get 4.
1\times \frac{3}{4}
Divide 1 by \frac{4}{3} by multiplying 1 by the reciprocal of \frac{4}{3}.
\frac{3}{4}
Multiply 1 and \frac{3}{4} to get \frac{3}{4}.