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\frac{2}{1+\frac{1+1}{1}}
Add 1 and 1 to get 2.
\frac{2}{1+\frac{2}{1}}
Add 1 and 1 to get 2.
\frac{2}{1+2}
Anything divided by one gives itself.
\frac{2}{3}
Add 1 and 2 to get 3.